3rd UNCG Virtual PDE Conference

Sturm Oscillation Theory for Nonlocal Equations

NAuthor : Peter Bates
Abstract : In 1836 Sturm published two papers in Liouville’s J. Math. Pures et Appl., giving his famous comparison and oscillation theorems. In its simplest form, Sturm’s comparison result is the following.

Theorem. Let q₁(x) ≤ q₂(x) be not identically equal on [a,b]. Let u be a nontrivial solution to u” + q₁(x)u = 0 on [a,b], and let v be a solution to v” + q₂(x)v = 0 on [a,b]. Suppose that u(a) = u(b) = 0. Then v has at least one zero in (a,b).

One may ask if there is a discrete version of this. There is, where the second derivative operator is replaced by the usual finite difference approximation, as has been observed by many people. Furthermore, it continues to hold for more general tri-diagonal operators. The second derivative operator may also be approximated by a discretization which includes next nearest neighbor interactions. Does the above theorem hold for such penta-diagonal operators? Answer: Not in general, as I will show with an example.

In another direction, being the main point of this presentation, one can replace the second derivative operator by a bounded integral operator, resulting in a nonlocal diffusion-like operator. Can one prove a similar comparison theorem? I will discuss the case where u′′ is replaced by

where J ≥ 0 is continuous, even, with compact support and J(0) > 0. More generally, I will examine the case when the nonlocal diffusion operator is replaced by a scaled version in R ⁿ, namely,

ε > 0 and small, and where Ω in R ⁿ is smoothly bounded, and J is radially symmetric. This operator converges, in some sense, to a multiple of the Laplacian, as ε → 0, and so the question arises as to whether or not a Sturm-like comparison theorem holds for this operator when ε is sufficiently small. This is joint work with Guangyu Zhao (UNLV).

Existence of Infinitely Many Radial Solutions for Quasilinear Elliptic Problems

Author : Jorge Cossio
Co-Authors : Alfonso Castro, Rosa Pardo, Sigifredo Herrón, and Carlos Vélez
Abstract : The talk will be concerned with the existence of infinitely many sign-changing radial solutions for quasilinear elliptic partial differential equations in a ball with the principal part given by the p-Laplacian operator and a nonlinearity that is super-linear at infinity. We consider quasilinear problems where the nonlinearity involves an indefinite weight function. For surfaces of revolution, we discuss the existence of infinitely many sign-changing rotationally symmetric solutions to a wide class of p-Laplace-Beltrami equations with polynomial-like nonlinearities.

We showcase the effectiveness of tools from the theory of ordinary differential equations, such as the shooting method, phase-plane and energy analysis, and the examination of initial value problems, in obtaining the existence of multiple radial solutions for quasilinear elliptic partial differential equations. We discuss these problems and present recent results.

Existence and Properties of Traveling Fronts for (q,r) – Relativistic Equations

Author : Pavel Drábek
Co-Authors : Maurizio Garrione and Michaela Zahradníková
Abstract : We introduce a new reaction-diffusion model governed by a (q,r)-relativistic type diffusion, extending the p-relativistic case and encompassing both singular and degenerate diffusivity. For monostable reactions, we establish existence of decreasing traveling fronts, exploiting the study of an equivalent first-order ODE with homogenous Dirichlet boundary conditions. We then analyze asymptotic properties of the fronts by means of comparison principles.

Explorations in Active Matter : Self-Avoidant Droplets and Colonies of Single-Point Swimmers

Author : Lisa Fauci
Co-Authors : Sang-Eun Lee, Hongfei Chen, Hoa Nguyen, Ricardo Cortez, and Christina Hamlet
Abstract : The collective behavior of discrete particles is mediated by the environment in which they are immersed, such as a chemical field or a surrounding incompressible fluid. The immersed boundary framework captures the interaction of Lagrangian particles with an underlying Eulerian description of the environment. Here we discuss this framework in the context of two models. First, motivated by autophoretic droplets that move in response to a self-produced chemical gradient, we examine the collective dynamics of individual motile particles using a reaction-diffusion system. The particles have an unlimited supply of a chemical, secrete it at a given rate, but are anti-chemotactic and move in the direction of maximal decrease of this chemical. In both one-and two-dimensional periodic domains, we find intriguing long-time behavior of the system. For certain values of a non-dimensional parameter that involves secretion rate, coupling coefficient, domain size and diffusion, we find that the particles either relax to regularly spaced arrays, approach these regular arrays with damped oscillation, or exhibit undamped, periodic trajectories. For high enough values of this parameter, the droplets exhibit ballistic motion and interact with the trails of the other droplets. Our second example is a model of a multicellular microbial colony, Choanoeca flexa. Individual cells form cup-like colonies that can turn inside-out so flagella line the cup’s interior or cover its outside surface. We present a reduced model that examines the hydrodynamic implications on swimming and feeding for these different states. We also present a minimal single-point model of a swimmer in an inertial regime, which is an extension of a force doublet model in a Stokesian fluid where inertia is absent.

An Overview of Structure Preserving Approximation of Nonlinear Conservation Equations

Author : Jean-Luc Guermond
Abstract : Realistic physical models of conservation equations are highly nonlinear systems of partial differential equations (PDE). Proving existence and uniqueness of solutions to these PDE systems is very often beyond reach, and in some cases the models are known to be ill-posed. In absence of a strong mathematical framework guaranteeing some form of compactness and well-posedness, one is lead to construct approximation techniques that (in addition to being consistent, of course) preserve key structures of the PDE system. For instance if the solution map to a problem is known to map pointwise data to a convex subset of ℝ^m, then a structure preserving approximation method would be one that ensures that the approximate solution map does the same. This concept is a multi-dimensional generalization of the maximum principle. Techniques satisfying this type of property are called invariant-domain preserving. It also often desirable to make sure that approximate solutions exactly solve a problem in some canonical situations. For instance, if a fluid flow is in hydrostatic equilibrium, one would like the approximate solution to satisfy this equilibrium as well. If the free surface of a lake is a rest, one would like the approximate model to deliver a solution that is also at rest. Approximation techniques that satisfy this type of property are said to be well-balanced. Many other forms of structures can be identified and preserved: involutions (think of Gauss laws of magnetism); asymptotic limits with respect to some model parameter; etc. In this talk I will give a brief overview of the state of the art on structure preserving approximation techniques for nonlinear conservation equations.

Dispersive Tsunami Modeling with Adaptive Mesh Refinement

Author : Randy LeVeque
Abstract : The open source GeoClaw software (distributed as part of Clawpack) implements the two-dimensional shallow water equations (SWE) over topography in a well-balanced manner, and is widely used for modeling tsunamis, storm surge, river flooding, and other natural hazards over large spatial extents. Adaptive mesh refinement (AMR) is heavily used in most applications, e.g. to efficiently track a tsunami across the ocean and then zoom in to meter-scale resolution in a coastal region of interest, where inundation is modeled by robust wetting-and-drying algorithms. For many applications the SWE are a good model, e.g. for large earthquake-generated tsunamis with a long wavelength relative to the ocean depth. For shorter wavelength phenomena (e.g. tsunamis generated by landslides or asteroid impacts), the SWE do not properly capture the dispersive nature of the waves. In recent joint work with Marsha Berger, a version of depth-averaged Boussinesq equations have been implemented in GeoClaw to better model such phenomena.

The primary difficulty is that the higher-order derivatives in this model require implicit solvers, which are more challenging to implement in an efficient and stable manner in the context of AMR than the explicit finite volume methods used for SWE. I will discuss these issues and show some computational results obtained as part of the NASA-funded Asteroid Threat Assessment Project.

Alfonso Castro : A Love Story with Nonlinear Analysis and Partial Differential Equations

Author : Jean Mawhin
Abstract : We describe, in an impressionist manner, the striking contributions of Alfonso Castro to nonlinear analysis, critical point theory, ordinary and partial differential equations from his PhD thesis under Alan C. Lazer’s direction to his most recent papers.

The emphasis is put on their blend of unity and diversity, and on his signif- icant role in promoting and encouraging mathematical collaboration.

Singular Solutions of Elliptic Equations in Two Dimensions

Author : Bernhard Ruf
Abstract : We investigate singular solutions of the semi-linear elliptic equation −∆u = f(u) in two dimensions, where f(u) exhibits exponential-type nonlinearities. By introducing a refined classification of nonlinearities based on their growth rate, singular solutions are constructed using a model nonlinearity and a transformation technique. The singular solutions are characterized by their blow-up behavior near the origin and are extended to solve the Dirichlet boundary value problem in punctured domains.

We show that these singular solutions on the punctured disk B \ {0} are also very weak (distributional) solutions on the whole disk B. Finally, we show that these solutions taken as initial data of an associated heat equation give rise to non-uniqueness.

Some PDE Problems Arising in Fluid Flow

Author : L. Ridgway Scott
Abstract : We describe some challenging PDE problems arising in different areas of fluid dynamics, some of which are completely open. One relates to the periodicity of the Karman vortex street. Another has to do with regularity and other restrictions on Tanner duality for non-Newtonian fluids. A third relates to regularity of transport equation solutions with inhomogeneous inflow conditions.

This conference is dedicated to Professor Alfonso Castro in celebration of his 75th birthday and his outstanding contributions to differential equations.

Alfonso Castro, PhD, McAlister Professor of Mathematics, specializes in differential equations and nonlinear functional analysis. Castro’s research areas include partial differential equations (including semilinear equations with discrete spectrum), variational methods, and inverse-function theorems. He views his mathematical career as an extension and continuation of his mentor and Ph.D. advisor, late Professor Alan C. Lazer. 

Castro is a co-founder and managing editor of the Electronic Journal of Differential Equations, a pioneering journal in paperless publication that publishes in excess of 150 research papers per year, accessible free of charge via the Internet. He served the National Science Foundation as program director of Applied Mathematics and Classical Analysis. Castro has served in several positions for the American Mathematical Association, including chair of its Human Rights Committee.

Professor Castro’s CV

Program for the Third UNCG Virtual PDE Conference

Click here to download the PDF of the Short Program with speakers assigned to the parallel sessions

Click here to download the PDF of the Long Program with speakers assigned to the parallel sessions

The timezone for this conference is Eastern Daylight Time, GMT: -4.

Click here to view the Zoom Instructions for this Conference

Friday, October 10th

9:45 – 10:00am Welcome Remarks from

• Alan Boyette, Provost and Executive Vice Chancellor, UNCG
• Sherine Obare, Vice Chancellor of Research and Engagement, UNCG
• Scott Richter, Head of the Department of Mathematics and Statistics, UNCG

10:00 – 10:15am History and UNCG Music Videos

• ‘HalfLight’ – Composed and Performed by by Ally Harvel
• ‘Ode to Joy’ – Performed by Scott Richter

10:15 – 10:30am Conference Dedication – Brief Presentation in honor of Alfonso Castro

10:20 – 11:20am (Special Presentation) Jean Mawhin – Alfonso Castro : A Love Story with Nonlinear Analysis and Partial Differential Equations

11:20 – 11:30am Break

11:30am – 12:30pm (First Plenary Lecture) Bernhard Ruf – Singular Solutions of Elliptic Equations in Two Dimensions

12:30 – 1:00pm Break

1:00 – 2:00pm Technical Support for Zoom Screen Sharing (optional)

2:00 – 3:40pm First Afternoon Parallel Sessions A1 – A6 (Undergraduate Talks Included in Session A1)

3:40 – 4:00pm Break

4:00 – 5:00pm (Second Plenary Lecture) Randy LeVeque – Dispersive Tsunami Modeling with Adaptive Mesh Refinement

5:00 – 6:00pm Second Afternoon Parallel Sessions B1 – B6

Saturday, October 11th

10:00 – 11:00am (Third Plenary Lecture) Pavel Drábek – Existence and Properties of Traveling Fronts for (q,r)-Relativistic Equations

11:00 – 11:10am Break

11:10am – 12:10pm Morning Parallel Sessions C1 – C6

12:10 – 1:00pm Break

1:00 – 2:00pm (Fourth Plenary Lecture) Ridgway Scott – Some PDE Problems Arising in Fluid Flow

2:00 – 2:10pm Break

2:10 – 3:10pm First Afternoon Parallel Sessions D1 – D6

3:10 – 3:20pm Break

3:20 – 4:20pm (Fifth Plenary Lecture) Lisa Fauci – Explorations in Active Matter : Self-Avoidant Droplets and Colonies of Single-Point Swimmers

4:20 – 4:30pm Special music : ‘Para el Maestro Alfonso’ Performed by

• Stephanie Villegas (Vocals)
• Mauricio Zapata Galvis (Piano)
• Isabella Becerra (Video)

4:30 – 5:00pm Meet and Greet with Alfonso Castro

5:00 – 5:10pm Break

5:10 – 6:10 Section Afternoon Parallel Sessions E1 – E6

Sunday, October 12th

10:00 – 11:00am (Sixth Plenary Lecture) Jean-Luc Guermond – An Overview of Structure Preserving Approximation of Nonlinear Conservation Equation

11:00 – 11:10am Break

11:10am – 12:10pm Morning Parallel Sessions F1 – F6

12:10 – 1:00pm Break

1:00 – 2:00pm (Seventh Plenary Lecture) Peter Bates – Sturm Oscillation Theory for Nonlocal Equations

2:00 – 2:10pm Break

2:10 – 3:10pm Afternoon Parallel Sessions G1 – G7

3:10 – 3:15pm Break

3:15 – 4:15pm (Eighth Plenary Lecture) Jorge Cossio – Existence of Infinitely Many Radial Solutions for Quasilinear Elliptic Problems

4:15 – 4:30pm Closing Remarks

4:30 – 5:00pm Chat with Alfonso Castro

Friday, October 10th

The timezone for this conference is Eastern Daylight Time, GMT: -4.

First Afternoon Parallel Sessions A1 – A6 (Undergraduate Talks Included in Session A1)

Session A1 — Chair: Emiliano Morales-Lopez
2:00 – 2:20p: Caroline Wyrick On the uniqueness of positive solutions for classes of two-point boundary value problems when a parameter is large
2:20 – 2:40p: Nyvisalsnuk Rith Stability and Bifurcation Analysis on Fishery Models with Strong Allee Effect and Holling’s Type III Functional Response
2:40 – 3:00p: Monishwar Vardireddy Analysis of the SEIR Model around the Singularities
3:00 – 3:20p: — —
3:20 – 3:40p: Emiliano Morales-Lopez Modeling the Transmission Dynamics of the Monkeypox Virus Infection with Intervention Measures

Session A2 — Chair: Mohammed Tewfik Ghomari
2:00 – 2:20p: Sherin Angus New exact closed form solution of Jeffery–Hamel flow using singularity structure analysis
2:20 – 2:40p: Junyuan Fang L^p theory for a class of parabolic equations with degenerate/singular coefficients
2:40 – 3:00p: Amlan Kanti Halder Newer Observations in Singularity Structures of Differential Equations
3:00 – 3:20p: Abdelbadie Younes Singular Elliptic Systems with Superlinear Gradient Growth
3:20 – 3:40p: Mohammed Ghomari Existence results for a Hardy p–Laplacian equation on compact Riemannian manifolds

Session A3 — Chair: Siham Boukarabila
2:00 – 2:20p: Prabal Acharya On the existence of solutions and continuous dependence on coefficients for the Newtonian fluid flow in a curved pipe with Darcy–Lapwood–Brinkman model
2:20 – 2:40p: Anupma Arora Existence of weak solutions for Kirchhoff type double phase problem with supercritical exponent
2:40 – 3:00p: Lovelesh Sharma On an eigenvalue problem associated with mixed operators under mixed boundary conditions
3:00 – 3:20p: Habib Fourti Non-existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity
3:20 – 3:40p: Siham Boukarabila On a Singular Gradient-Dependent Elliptic System

Session A4 — Chair: Vinayak Mani Tripathi
2:00 – 2:20p: Ambesh K. Pandey Existence of multiple solutions for a class of mixed local and nonlocal variable exponent problem
2:20 – 2:40p: Ashutosh Dixit Non-variational type critical growth nonlocal system
2:40 – 3:00p: Diksha Gupta Elliptic Problems Involving Mixed Local–Nonlocal Operator in the Hyperbolic Space
3:00 – 3:20p: Maria A. Onyido On the Spatial Spreading Dynamics of Species with Nonlocal Dispersal
3:20 – 3:40p: Vinayak M. Tripathi Multiplicity result for mixed local and nonlocal Kirchhoff problems involving critical growth

Session A5 — Chair: Saroja Lakshmi
2:00 – 2:20p: B. Sagar Numerical Simulation of Fractional Keller–Segel System Modeling Chemotaxis
2:20 – 2:40p: Akash K. Gartia Modeling and Vibration Analysis of Multi-Cracked Functionally Graded Nanobeams
2:40 – 3:00p: Saroja Lakshmi Mathematical Modelling of Coral Reef Dynamics with Mangroves
3:00 – 3:20p: Saroj Si Analysis of a size-structured growth–coagulation–fragmentation model
3:20 – 3:40p: — —

Session A6 — Chair: Kithmini Maddegoda
2:00 – 2:20p: — —
2:20 – 2:40p: Lander Basabe Isotropic recovery-based error estimator algorithm for mesh adaptation in a finite volume environment
2:40 – 3:00p: Kithmini Maddegoda Modeling the Impact of Environmental Variability on Plankton Systems
3:00 – 3:20p: Akhilesh Verma Finite–Approximate Controllability of Non-Autonomous Neutral Impulsive Evolution Equations with State-Dependent Delay
3:20 – 3:40p: Spencer H. Bryngelson Solving Navier–Stokes-like problems with discontinuous features via information geometric regularization

Second Afternoon Parallel Sessions B1 – B6

Session B1 — Chair: Ananta Acharya
5:00 – 5:20p: Wai Chan Quenching for Reaction–Diffusion Equations
5:20 – 5:40p: Atanu Manna Existence and multiplicity of non-radial solutions for a semilinear elliptic equation on hyperbolic space
5:40 – 6:00p: Ananta Acharya Analysis of a population when a second species influences its dynamics in the interior and on the boundary

Session B2 — Chair: Manki Cho
5:00 – 5:20p: Thuy Le The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
5:20 – 5:40p: — —
5:40 – 6:00p: Manki Cho Efficient Numerical Solutions of Laplace Equations with Mixed Boundary Conditions Using Steklov Eigenfunctions

Session B3 — Chair: Brian Choi
5:00 – 5:20p: — —
5:20 – 5:40p: Mohammed N. Benamar On the stability of a class of positive fractional 2D Lyapunov systems described by the Roesser model
5:40 – 6:00p: Brian Choi Unique continuation of fractional dispersive equations

Session B4 — Chair: Ardra A
5:00 – 5:20p: Sigifredo Herrón Sub-Supersolution Techniques and Fixed-Point Methods for Schrödinger p-Laplacian Problems
5:20 – 5:40p: Lan-Phuc Tran Phase Shaping of the Nonlinear Schrödinger Equation
5:40 – 6:00p: Ardra A On the first eigenvalue of a nonlinear Schrödinger-type equation

Session B5 — Chair: Arturo Sanjuán
5:00 – 5:20p: Md. Abdus Saad Time-Dependent Diffusion and Soliton Dynamics in (2+1)D Chaffee–Infante Equation
5:20 – 5:40p: A. Sengouga Energy Bounds for a Vibrating String with Boundary Damping and Varying Length
5:40 – 6:00p: Arturo Sanjuán The Work of Alfonso Castro on the Semilinear Wave Equation: A Survey

Session B6 — Chair: Yi Zhang
5:00 – 5:20p: Kiran Kumar Saha Existence of Radially Symmetric k-Convex Solutions to k-Hessian Equations
5:20 – 5:40p: — —

Saturday, October 11th

The timezone for this conference is Eastern Daylight Time, GMT: -4.

Morning Parallel Sessions C1 – C6

Session C1 — Chair: Ky Ho
11:10 – 11:30am Ky Ho Double Phase Problems Involving Sandwich-Type Growth
11:30 – 11:50am Rupali Kumari Some results on nonlinear elliptic equations with dependence on the gradient
11:50 – 12:10pm Petr Girg Strongly Nonlinear Model of Groundwater Flow in a Porous Medium Layered over an Inclined Impermeable Bed

Session C2 — Chair: Rosa Pardo
11:10 – 11:30am Manika Bag Local controllability of the Cahn–Hilliard–Burgers’ equation around certain steady states
11:30 – 11:50am Axel G. R. Turnquist A Cutoff Method for Computing Optimal Transport to a Target Measure with Unbounded Support
11:50 – 12:10pm Rosa Pardo Elliptic Systems with Superlinear Terms on the Critical Hyperbola

Session C3 — Chair: Pamodya T. Thalawage
11:10 – 11:30am Shashank Pandey Almost Sectorial Operators in Integro-Differential Equations with State-Dependent Delay
11:30 – 11:50am Pamodya T. Thalawage An Optimal Control Approach for Time-Dependent Harvesting Strategies in Delayed Predator–Prey Dynamics
11:50 – 12:10pm Deeksha Tomer Domain Decomposition Methods for PDEs with Time Delay

Session C4 — Chair: Satyanarayana Engu
11:10 – 11:30am Rohit Kumar On fractional p-Laplace semipositone problems
11:30 – 11:50am Garima Gupta Approximate Controllability of Fractional-Order Neutral Integro-Differential Equations Using a Fractional Resolvent Operator
11:50 – 12:10pm Karthiga M A New Exact Form of Travelling Wave Solutions for the Fractional-Order Padé-II Equation

Session C5 — Chair: Mengxuan Yang
11:10 – 11:30am Anshika Singhal Self-Similar Behavior of Shock Waves in Generalized Chaplygin Gas
11:30 – 11:50am Aniruddha K. Sharma Shock-Wave Dynamics via Symmetry-Driven Analysis of a Two-Phase Flow with the Chaplygin Pressure Law
11:50 – 12:10pm Mengxuan Yang Resolvent and Wave Decay of the Multi-Pole Aharonov–Bohm Hamiltonian

Session C6 — Chair: Mohandas Pillai
11:10 – 11:30am Anežka Švandová Simulations of Groundwater Flow in Fractured Porous Media
11:30 – 11:50am Amar Ould-Hammouda Homogenization of a Stokes Flow in Porous Media under a Non-Homogeneous Slip Boundary Condition
11:50 – 12:10pm Mohandas Pillai Global Dynamics of Solitons Coupled to Radiation for Critical Wave Maps and Semilinear Wave Equations

First Afternoon Parallel Sessions D1 – D6

Session D1 — Chair: Tom Lewis
2:10 – 2:30pm Jan V. Rudzko Classical Solution of a Mixed Problem with the Discontinuous Robin Boundary Condition and Inhomogeneous Conjugation Conditions for a Semilinear Wave Equation
2:30 – 2:50pm Bo Zhang Global Attractivity in Nonlinear Wave Equations with Unbounded Damping
2:50 – 3:10pm Cong Van The inverse initial data problem for anisotropic Navier–Stokes equations via Legendre time reduction method

Session D2 — Chair: Darío A. Valdebenito
2:10 – 2:30pm Šárka Nečasová The primitive equations: rigorous derivation and Onsager conjecture
2:30 – 2:50pm Flavia Smarrazzo On Radon measure-valued solutions for a class of evolution equations with measure initial data
2:50 – 3:10pm Darío A. Valdebenito Quasiperiodic solutions of some elliptic systems of equations

Session D3 — Chair: Bo Yang
2:10 – 2:30pm Caterina Sportelli The superposition of operators of mixed fractional order
2:30 – 2:50pm Hardagna V. Vora Fractional Modeling of Calcium Interplay in Neuronal Cells: Normal vs. Alzheimer’s Conditions
2:50 – 3:10pm Bo Yang Positive Solutions for a Fourth Order p-Laplacian Boundary Value Problem

Session D4 — Chair: Nsoki Marvinga
2:10 – 2:30pm Carlos Culebro Multiple nodal solutions to a scalar field equation with double-power nonlinearity and zero mass at infinity
2:30 – 2:50pm Surbhi On a Fourth Order System Involving Critical Nonlinearities and Sign-Changing Weight Functions
2:50 – 3:10pm Nsoki Marvinga An interpolation approach to L∞ a priori estimates for elliptic problems with nonlinearity on the boundary

Session D5 — Chair: Satyajith Bommana Boyana
2:10 – 2:30pm Sonu Bose An Efficient Numerical Approximation to Solution and Diffusive Fluxes for a 2D System of Convection-Dominated Elliptic PDEs
2:30 – 2:50pm Li Zhu A New Finite Element Method for Simulating Wave Propagation on Complex Graphene Sheets
2:50 – 3:10pm Satyajith B. Boyana Discontinuous Galerkin Methods for Convection-Dominated Problems

Session D6 — Chair: Anusree R. Kannoth
2:10 – 2:30pm Briceyda B. Delgado Resonant solutions for elliptic systems with Neumann boundary conditions
2:30 – 2:50pm Gülistan Butakın Blow-up in Finite Time of Solutions to Triharmonic Parabolic-Type Equations in Variable Exponent
2:50 – 3:10pm Anusree R. Kannoth Spike layered solutions for elliptic systems on Riemannian Manifolds

Second Afternoon Parallel Sessions E1 – E6

Session E1 — Chair: Gleb Gribovskii
5:10 – 5:30pm — —
5:30 – 5:50pm — —
5:50 – 6:10pm Gleb Gribovskii Data-Driven Machine Learning Approaches to Modeling Pertussis Vaccine Scare Behavior

Session E2 — Chair: Mohammed El Aïdi
5:10 – 5:30pm Yi Hu Nonlinear Schrödinger Equation with Stark Effect and Damping
5:30 – 5:50pm Ameerraja Ansari Weighted Sobolev inequalities and superlinear elliptic problems on exterior domains in R²
5:50 – 6:10pm Mohammed El Aïdi On the Riesz-means of Negative Eigenvalues for a Compact Metric Tree

Session E3 — Chair: Melissa Cook
5:10 – 5:30pm Ala` Alalabi Well-posedness and Optimal Control in Poroelasticity
5:30 – 5:50pm Nalin Fonseka Effects of Predation-Induced Emigration on a Harvesting Model
5:50 – 6:10pm Melissa Cook Effects of harvesting-mediated emigration on a weak Allee growth model

Session E4 — Chair: Louiza Baymout
5:10 – 5:30pm Louiza Baymout 3D limit cycles for three-dimensional piecewise differential systems
5:30 – 5:50pm Mehsin Jabel Atteya Solutions to a System of Generalized Yang–Baxter Equation for the Null Space of a Matrix
5:50 – 6:10pm Ray Abney Objects Invisible from Multiple Directions

Session E5 — Chair: Elliott Hollifield
5:10 – 5:30pm Thinh Dang Semi-analytic spectral method for nonlocal Poisson problem with discontinuous data
5:30 – 5:50pm Yuhao Mu New Qualitative and Numerical Results for a Nonlinear Fluid–Structure Interaction Model
5:50 – 6:10pm Elliott Hollifield Numerical coexistence states of a parabolic system with local and nonlocal diffusion

Session E6 — Chair: Tuba Satilmis
5:10 – 5:30pm Hamed A. Bouraoui Stability analysis of Porous–Elastic System with Microtemperatures under Dual–Phase–Lag Theory
5:30 – 5:50pm Tuba Satilmis Initial Time Variations and Lipschitz Stability in Set–Valued Differential Systems
5:50 – 6:10pm Nhung Nguyen Fast and stable imaging of objects in 2D acoustic waveguides using scattering data

Sunday, October 12th

The timezone for this conference is Eastern Daylight Time, GMT: -4.

Morning Parallel Sessions F1 – F6

Session F1 — Chair: Gerard Awanou
11:10 – 11:30am Süleyman Cengizci A Hybrid Machine Learning Framework for Solving Convection-Dominated Steady-State Transport Problems
11:30 – 11:50am Gerard Awanou On uniqueness of weak solutions to the second boundary value problem for generated prescribed Jacobian equations
11:50 – 12:10pm Salima Azouz Composite Asymptotic Approximations for Anisotropic Singular Perturbed Problems

Session F2 — Chair: Xiaohuan Xue
11:10 – 11:30am General Ozochiawaeze Strengthened Analysis of Linear Sampling Method for Biharmonic Wave Scattering
11:30 – 11:50am José D. Beltrán Global existence and zero relaxation limit for a hyperbolic system arising in traffic flow with large data
11:50 – 12:10pm Xiaohuan Xue Convergent Finite Difference Methods with Higher Order Local Truncation Errors for Stationary Hamilton–Jacobi Equations

Session F3 — Chair: Ani Tumanyan
11:10 – 11:30am Akanksha Kesarwani Superlinear and Sublinear Dirichlet Problems with the (p(x), q(x))–Laplacian Operator
11:30 – 11:50am Said Taarabti Three Solutions to a Neumann Boundary Value Problem Driven by the p(x)-Biharmonic Operator
11:50 – 12:10pm Ani Tumanyan Fredholm and Spectral Properties of Regular Hypoelliptic Operators

Session F4 — Chair: Leandro Recôva
11:10 – 11:30am Víctor Vicente-Benítez Entire Solutions to a Quasilinear Purely Critical Competitive System
11:30 – 11:50am Leandro Recôva Multiplicity Results for Non-Local Operators of Elliptic Type
11:50 – 12:10pm Amit Kumar Acharya Dini–Schauder Estimate for a Class of Non-Local Elliptic Equations

Session F5 — Chair: Jesse Paul
11:10 – 11:30am Senoussi Guesmia Quantitative Convergence Rates in the Asymptotic Analysis of Parameter-Dependent Elliptic Problems
11:30 – 11:50am Phuong Nguyen Solving the Inverse Scattering Problem via Carleman-Based Contraction Mapping
11:50 – 12:10pm Jesse Paul A Vanishing Moment Narrow Stencil Method for Approximating Viscosity Solutions to Fully Nonlinear Monge–Ampère Equations

Session F6 — Chair: Byungjae Son
11:10 – 11:30am Abhishek Sarkar On (p, N)-Laplace Multivalued Equations with Critical Exponential Nonlinearity in ℝᴺ
11:30 – 11:50am Markjoe O. Uba Asymptotic Limits of the Principal Spectrum Point of a Cooperative System with Nonlocal Dispersal
11:50 – 12:10pm Byungjae Son On Positive Solutions to One-Dimensional Elliptic Boundary Value Problems with Nonlocal Boundary Conditions

First Afternoon Parallel Sessions G1 – G8

Session G1 — Chair: Emer Lopera
2:10 – 2:30pm Lingju Kong Weak Solutions for Quasilinear Biharmonic Systems
2:30 – 2:50pm Emer Lopera Positive Solutions for a Class of Quasilinear Problems with Indefinite Potential
2:50 – 3:10pm Taige Wang Multiplicity of Laplacian Eigenvalues Presented by Sum of Two Squares Using Number Theory

Session G2 — Chair: Vikram Naik
2:10 – 2:30pm Edgar A.A. Martínez Uniform Estimates for Elliptic Equations with Carathéodory Nonlinearities at the Interior and on the Boundary
2:30 – 2:50pm Lukáš Kotrla Parabolic Logistic Equation and System Involving Fractional Laplacian
2:50 – 3:10pm Vikram Naik Brezis–Nirenberg Type Problem for Fractional Sub-Laplacian on the Heisenberg Group

Session G3 — Chair: Prerona Dutta
2:10 – 2:30pm Satyanarayana Engu Large Time Asymptotics of the Solutions to the Generalized BBM–B Equation
2:30 – 2:50pm Apeksha Patil Exact Solutions of Oskolkov Equation through Symmetry Analysis and Their Integrals of Motion Using Conservation Laws
2:50 – 3:10pm Prerona Dutta Weak Diffeomorphisms for Conservation Laws

Session G4 — Chair: Diana Milena Sanchez
2:10 – 2:30pm Urvashi Joshi Solitonic and Exact Solutions for a Viscous Traffic Flow Model via Lie Symmetry
2:30 – 2:50pm Khoi Anh Vo Simultaneous Reconstruction of Birth Condition and Mortality Rate in an Age-Structured Tumor Model
2:50 – 3:10pm Diana Milena Sanchez Eigenvalue Problem Involving the (p, q)-Laplacian Operator

Session G5 — Chair: Suvendu Nayak
2:10 – 2:30pm Suvendu Nayak Operator-Theoretic Foundations of Legendre Wavelet Methods for Hyperbolic PDEs
2:30 – 2:50pm Marcelo V. Flamarion Dynamics of Abnormally Large Ocean Waves
2:50 – 3:10pm Jose Morales A Stochastic Collocation Method for the Boltzmann–Poisson System with Rough Boundaries and Uncertainties

Session G6 — Chair: Oscar Agudelo
2:10 – 2:30pm Subham Nayak Adaptive Nonconforming FEM for Distributed Optimal Control Problems Governed by m-Harmonic Equations
2:30 – 2:50pm Priya Kumari Singh A Collocation Method for Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion and Its Application to Mathematical Finance
2:50 – 3:10pm Oscar Agudelo Fredholm Properties of the Jacobi Operator of Minimal Canonical Hypersurfaces

Session G7 — Chair: Shalmali Bandyopadhyay
2:10 – 2:30pm Vladan Čížek Propagation Speed for Strongly Nonlinear Parabolic Problems
2:30 – 2:50pm Prashant K. Pandey Sturm’s Theorems and Sturm–Liouville Problems in Terms of the Generalized Derivatives
2:50 – 3:10pm Shalmali Bandyopadhyay Bifurcation Curves for Elliptic Problems with Nonlinear Boundary Reactions: A Finite Difference Approach

Session G8 — Chair: TBA
2:10 – 2:30pm Archi Tiwari Integrability of Heston Financial Model
2:30 – 2:50pm Evangelos Nastas Hölder Regularity for Weak Solutions to a Class of Degenerate Elliptic Equations
2:50 – 3:10pm Said Baghdad Existence Results for Implicit Partial Fractional Differential Equations with Initial Conditions

All approved abstracts are posted on this page. Click on each title to view a PDF of the abstract.

Last Updated : October 10^th – Please contact Matthew Farmer at cmfarmer@uncg.edu with any questions, comments, or concerns.

General Abstracts

Ardra A One the first eigenvalue of a nonlinear Schrödinger type equation

Ananta Acharya Analysis of a population when a second species influences its dynamics in the interior and on the boundary

Amit Kumar Acharya Dini-Schuader estimate for a class of Non-local elliptic equations

Prabal Acharya On the existence of solutions and continuous dependence on coecients for the Newtonian fluid flow in a curved pipe with Darcy-Lapwood-Brinkman model

Ray Abney Objects Invisible from Multiple Directions

Oscar Agudelo Fredholm properties of the Jacobi operator of minimal canonical hypersurafaces

Ala’ Alalabi Well-posedness and Optimal Control in Poroelasticity

Sherin Angus New exact closed form solution of Jeffery-Hamel flow using singularity structure analysis

Ameerraja Ansari Weighted Sobolev inequalities and superlinear ellipticproblems on exterior domains in R²

Anupma Arora Existence of weak solutions for Kirchhoff type double phase problem with supercritical exponent

Mehsin Jabel Atteya Solutions to a System of Generalized Yang-Baxter Equation for the Null Space of a Matrix

Gerard Awanou On uniqueness of weak solutions to the second boundary value problem for generated prescribed Jacobian equations

Salima Azouz Composite Asymptotic Approximations for Anisotropic Singular Perturbed Problems

Manika Bag Local controllability of the Cahn-Hilliard-Burgers’ equation around certain steady states

Said Baghdad Existence results for implicit partial fractional differential equations with initial conditions

Shalmali Bandyopadhyay Bifurcation Curves for Elliptic Problems with Nonlinear Boundary Reactions: A Finite Difference Approach

Louiza Baymout 3D limit cycles for three dimensional piecewise differential systems

José David Beltrán Global existence and zero relaxation limit for a hyperbolic system arising in traffic flow with large data

Mohammed Nadjib Benamar On the stability of a class of positive fractional 2D Lyapunov systems described by the Roesser model

Lander Basabe Isotropic recovery-based error estimator algorithm for mesh adaptation in a finite volume environment

Sonu Bose An Effcient Numerical Approximation to Solution and Diffusive Fluxes for 2D-System of Convection-Dominated Elliptic PDEs

Siham Boukarabila On a Singular Gradient-Dependent Elliptic System

Hamed Abderrahmane Bouraoui Stability analysis of Porous-Elastic System with Microtemperatures under Dual-Phase-Lag Theory

Satyajith Bommana Boyana Discontinuous Galerkin Methods for Convection-Dominated Problems

Spencer H. Bryngelson Solving Navier–Stokes-like problems with discontinuous features via information geometric regularization

Gülistan Butakın Blow-up in Finite Time of Solutions to Triharmonic Parabolic-Type Equations in Variable Exponent

Süleyman Cengizci A Hybrid Machine Learning Framework for Solving Convection-Dominated Steady-State Transport Problems

Wai Chan Quenching for Reaction-Diffusion Equations

Manki Cho Effcient Numerical Solutions of Laplace Equations with Mixed Boundary Conditions Using Steklov Eigenfunctions

Brian Choi Unique continuation of fractional dispersive equations

Vladan Čížek Propagation Speed for Strongly Nonlinear Parabolic Problems

Melissa Cook Effects of harvesting-mediated emigration on a weak Allee growth model

Carlos Culebro Multiple nodal solutions to a scalar field equation with double-power nonlinearity and zero mass at infinity

Thinh Dang Semi-analytic spectral method for nonlocal Poisson problem with discontinuous data

Briceyda B. Delgado Resonant solutions for elliptic systems with Neumann boundary conditions

Ashutosh Dixit Non variational type critical growth nonlocal system

Prerona Dutta Weak diffeomorphisms for conservation laws

Mohammed El Aïdi On the Riesz-means of Negative Eigenvalues for a Compact Metric Tree

Satyanarayana Engu Large time asymptotics of the solutions to the generalized BBM-B equation

Junyuan Fang L^p theory for a class of parabolic equations with degenerate/singular coefficients

Marcelo V. Flamarion Dynamics of abnormally large ocean waves

Nalin Fonseka Effects of Predation Induced Emigration on a Harvesting Model

Habib Fourti Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity

Akash Kumar Gartia Modeling and Vibration Analysis of Multi-Cracked Functionally Graded Nanobeams

Mohammed Tewfik Ghomari Existence results for a Hardy p-Laplacian equation on compact Riemannian manifolds

Gleb Gribovskii Data-Driven Machine Learning Approaches to Modeling Pertussis Vaccine Scare Behavior

Petr Girg Strongly Nonlinear Model of Groundwater Flow in Porous Medium Layered Over Inclined Impermeable Bed

Senoussi Guesmia Quantitative Convergence Rates in the Asymptotic Analysis of Parameter-Dependent Elliptic Problems

Diksha Gupta Elliptic Problems Involving Mixed Local-Nonlocal Operator in the Hyperbolic Space

Garima Gupta Approximate Controllability Of Fractional Order Neutral Integro-Differential Equation by Using Fractional Resolvent Operator

Amlan Kanti Halder Newer Observations in Singularity Structures of Differential Equations

Sigifredo Herrón Sub-Supersolution Techniques and Fixed Point Methods for Schrödinger p-Laplacian Problems

Ky Ho Double Phase Problems Involving Sandwich-Type Growth

Elliott Hollifield Numerical coexistence states of a parabolic system with local and nonlocal diffusion

Yi Hu Nonlinear Schrödinger Equation with Stark Effect and Damping

Urvashi Joshi Solitonic and Exact Solutions for a Viscous Traffic Flow Model via Lie Symmetry

Anusree R Kannoth Spike layered solutions for elliptic systems on Riemannian Manifolds

Akanksha Kesarwani Superlinear and Sublinear Dirichlet problems with the ((p(x), q(x)) – Laplacian operator

Lukáš Kotrla Parabolic Logistic Equation and System Involving Fractional Laplacian

Rohit Kumar On fractional p-Laplace semipositone problems

Rupali Kumari Some results on nonlinear elliptic equations with dependence on the gradient

Saroja Lakshmi Mathematical Modelling of Coral Reef Dynamics with Mangroves

Thuy Le The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

Lingju Kong Weak Solutions for Quasilinear Biharmonic Systems

Emer Lopera Positive solutions for a class of quasilinear problems with indefinite potential.

Karthiga M A new Exact form of travelling wave solutions for Fractional order Padé-II Equation

Kithmini Maddegoda Modeling the Impact of Environmental Variability on Plankton Systems

Atanu Manna Existence and multiplicity of non-radial solutions for a semilinear elliptic equation on hyperbolic space

Edgar Alejandro Antonio Martínez Uniform estimates for elliptic equations with Caratheodory nonlinearities at the interior and on the boundary

Nsoki Marvinga An interpolation approach to L^∞ a priori estimates for elliptic problems with nonlinearity on the boundary

Jose Morales A stochastic collocation method for the Boltzmann-Poisson system with rough boundaries and uncertainties

Yuhao Mu New Qualitative and Numerical Results for a Nonlinear Fluid-Structure Interaction Model

Vikram Naik Brezis-Nirenberg type problem for fractional sub-Laplacian on the Heisenberg group

Evangelos Nastas Hölder Regularity for Weak Solutions to a Class of Degenerate Elliptic Equations

Subham Nayak Adaptive nonconforming FEM for distributed optimal control problems governed by m-harmonic equations

Suvendu Nayak Operator-Theoretic Foundations of Legendre Wavelet Methods for Hyperbolic PDEs

Šárka Nečasová The primitive equations: rigorous derivation and Onsager conjecture

Nhung Nguyen Fast and stable imaging of objects in 2D acoustic waveguides using scattering data

Phuong Nguyen Solving the inverse scattering problem via Carleman-based contraction mapping

Maria Amarakristi Onyido On the Spatial Spreading Dynamics of Species with Nonlocal Dispersal

Amar Ould-Hammouda Homogenization of a Stokes flow in Porous Media under aNon-homogeneous Slip Boundary Condition

General Ozochiawaeze Strengthened Analysis of Linear Sampling Method for Biharmonic Wave scattering

Ambesh Kumar Pandey Existence of multiple solutions for a class of mixed local and nonlocal variable exponent problem

Prashant K. Pandey Sturm’s theorems and Sturm–Liouville problems in terms of the generalized derivatives

Shashank Pandey Almost Sectorial Operators in Integro-Differential Equations with State-Dependent Delay

Rosa Pardo Elliptic Systems with Superlinear Terms on the Critical Hyperbola

Apeksha Patil Exact Solutions of Oskolkov Equation through Symmetry Analysis and their Integrals of Motion using Conservation Laws

Jesse Paul A Vanishing Moment Narrow Stencil Method for Approximating Viscosity Solutions to Fully Nonlinear Monge-Ampère Equations

Mohandas Pillai Global dynamics of solitons coupled to radiation for critical wave maps and semilinear wave equations

Leandro Recôva Multiplicity results for non-local operators of elliptic type

Jan V. Rudzko Classical Solution of a Mixed Problem with the Discontinuous Robin Boundary Condition and Inhomogeneous Conjugation Conditions for a Semilinear Wave Equation

Md. Abdus Saad Time-Dependent Diffusion and Soliton Dynamics in (2+1)D Chaffee-Infante Equation

B Sagar Numerical Simulation of Fractional Keller-Segel System Modeling Chemotaxis

Kiran Kumar Saha Existence of Radially symmetric k­-convex solutions to k-Hessian equations 

Lorena Aguirre Salazar An Ohta-Kawasaki model set on the space

Diana Milena Sánchez Eigenvalue problem involving the (p, q)-Laplacian operator

Arturo Sanjuán The Work of Alfonso Castro on the Semilinear Wave Equation: A Survey

Abhishek Sarkar On (p, N)-Laplace multivalued equations with critical exponential nonlinearity in R^N

Tuba Satilmis Initial Time Variations and Lipschitz Stability in Set-Valued Differential Systems

Abdelmouhcene Sengouga Energy Bounds for a Vibrating String with Boundary Damping and Varying Length

Aniruddha Kumar Sharma Shock wave Dynamics via Symmetry-Driven Analysis of A Two-phase Flow with The Chaplygin Pressure Law

Lovelesh Sharma On an eigenvalue problem associated with mixed operators under mixed boundary conditions

Saroj Si Analysis of a size-structured growth-coagulation-fragmentation model

Priya Kumari Singh A collocation method for nonlinear stochastic differential equations driven by fractional Brownian motion and its application to mathematical finance

Anshika Singhal Self-Similar Behavior of Shock Waves in Generalized Chaplygin Gas

Flavia Smarrazzo On Radon measure-valued solutions for a class of evolution equations with measure initial data

Byungjae Son On positive solutions to one-dimensional elliptic boundary value problems with nonlocal boundary conditions

Caterina Sportelli The superposition of operators of mixed fractional order

Surbhi On a Fourth Order System Involving Critical Nonlinearities and Sign-Changing Weight Functions

Anežka Švandová Simulations of Groundwater Flow in Fractured Porous Media

Said Taarabti Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator

Pamodya Teshini Thalawage An Optimal Control Approach for Time-Dependent Harvesting Strategies in Delayed Predator-Prey Dynamics

Deeksha Tomer Domain Decomposition Methods for PDEs with Time Delay

Lan-Phuc Tran Phase Shaping of the Nonlinear Schrödinger Equation

Om Tripathi Analysis of Predator-Prey Dynamics with Taxis and Diffusion: Existence, Uniqueness, and Stability

Vinayak Mani Tripathi Multiplicity result for mixed local and nonlocal Kirchhoff problems involving critical growth

Ani Tumanyan Fredholm and Spectral Properties of Regular Hypoelliptic Operators

Axel G. R. Turnquist A Cutoff Method for Computing Optimal Transport to a Target Measure with Unbounded Support

Markjoe O. Uba Asymptotic limits of the principal spectrum point of a Cooperative System with Nonlocal Dispersal

Darío A. Valdebenito Quasiperiodic solutions of some elliptic systems of equations

Cong Van The inverse initial data problem for anisotropic Navier-Stokes equations via Legendre time reduction method

Akhilesh Verma Finite-Approximate Controllability of Non-Autonomous Neutral Impulsive Evolution Equations with State-Dependent Delay

Amar Pal Verma Quasilinear Degenerate Elliptic Problems with Indefinite Weights and Variable Exponents: Existence of Multiple Weak Solutions

Víctor A. Vicente-Benítez Entire solutions to a quasilinear purely critical competitive system

Khoi Anh Vo Simultaneous reconstruction of birth condition and mortality rate in an age-structured tumor model

Hardagna Vatsal Vora Fractional Modeling of Calcium Interplay in Neuronal Cells: Normal vs. Alzheimer’s Conditions

Mittu Walia Computational Simulation of Non-Newtonian Fluid Dynamics for Pulsatile Hemodynamics

Min Wang An age-structured physics-informed neural network model for COVID-19 hospitalization rate

Taige Wang Multiplicity of Laplacian eigenvalues presented by sum of two squares using number theory

Xiaohuan Xue Convergent Finite Difference Methods with Higher Order Local Truncation Errors for Stationary Hamilton-Jacobi Equations

Bo Yang Positive Solutions for a Fourth Order p-Laplacian Boundary Value Problem

Mengxuan Yang Resolvent and wave decay of the multi-pole Aharonov–Bohm Hamiltonian

Abdelbadie Younes Singular Elliptic Systems with Superlinear Gradient Growth

Bo Zhang Global Attractivity in Nonlinear Wave Equations with Unbounded Damping

Li Zhu A New Finite Element Method for Simulating Wave Propagation on Complex Graphene Sheets

All approved abstracts are posted on this page. Click on each title to view a PDF of the abstract.

Undergraduate Abstracts

Emiliano Morales-Lopez Modeling the Transmission Dynamics of the Monkeypox Virus Infection with Intervention Measures

Nyvisalsnuk Rith Stability and Bifurcation Analysis on Fishery Models with Strong Allee Effect and Holling’s Type III Functional Response

Archi Tiwari Integrability of Heston Financial Model

Monishwar Reddy Vardireddy Analysis of the SEIR Model around the Singularities

Caroline Wyrick On the uniqueness of positive solutions for classes of two-point boundary value problems when a parameter is large

Speakers at 3rd UNC Greensboro PDE Conference are invited to submit a manuscript for consideration in a Special Issue of the Electronic Journal of Differential Equations, dedicated to honoring Professor Alfonso Castro.

•     Submission Deadline: March 15, 2026

•     Submission Instructions: Send your manuscript (in PDF format) to Yi Zhang at y_zhang7@uncg.edu

Main Editor: Yi Zhang

Associate Editors: Maya Chhetri, Richard Fabiano, Tom Lewis, and Ratnasingham Shivaji

All approved participants will have their name and affiliation printed on this page. Please expect at most five business days for your information to be updated here.

Ardra A, IIT Palakkad 

Sengouga Abdelmouhcene, University of M’Sila

Habeeb Abdulrahman, Modibbo Adama University, Yola

Ray Abney, UNC Charlotte 

Pitambar Acharya, University of Alabama at Birmingham

Prabal Acharya, Department of Mathematics, VNIT Nagpur

Ananta Acharya, Eastern New Mexico University

Amit Kumar Acharya, SRM University Ap, Andhra Pradesh

Dhruba Adhikari, Kennesaw State University

Hugo Aduén, Universidad de Córdoba

Sherin Agnus, Pondicherry University, Puducherry

Oscar Agudelo, University of West Bohemia in Pilsen

Sergio Agudelo Benitez, Universidad Nacional de Colombia sede Manizales

Lorena Aguirre-Salazar, Texas A&M – Corpus Christi

Mohammed Ahrami, Mohammed First University

Ouali Aicha, Department of MathematicsFaculty of Exact and Applied Sciences University

Mohamed Al Lawati, Sultan Qaboos University

Ala’ Alalabi, North Carolina State University

Eman Aldabbas, The University of Jordan

Diana Aldiarbek, Nazarbayev University 

Mohsen Alimohammady, University of Mazandaran

Rasha Almughrabi, New River Community and Technical College

Fatimah Alsaad, University of Hafr Al-Batin

Johnathan Andres, University of Houston

Mohmmadameerraja Ansari, IIT Palakkad

Edgar Alejandro Antonio Martines, Universidad Complutense de Madrid

Rakesh Arora, Indian Institute of Technology (Varanasi)

Anupma Arora, Birla Institute of Technology and Science, Pilani

Ashok Aryal, Minnesota State University Moorhead 

Mehsin Atteya, Mustansiriyah University

Gerard Awanou, University of Illinois at Chicago

Salima Azouz, University of Tamanghas

Manika Bag, Indian Institute of Science Education and Research, Thiruvananthapuram

Loren Baker, University of Central Missour 

Shalmali Bandyopadhyay, UT Martin

Peter Bates, Michigan State University

Louiza Baymout, University of Sciences and Technology Houari Boumedienne

José David Beltrán Lizarazo, The University of Iowa

Jiří Benedikt, University of West Bohemia

Lander Besabe, Clemson University

Akshita Bhardwaj, Indian Institute of Technology Roorkee

Vladimir Bobkov, Institute of Mathematics UFRC RAS

Satyajith Bommana Boyana, Florida Polytechnic Univeristy

Sonu Bose, IIST, Thiruvananthapuram 

Siham Boukarabila, university of Tlemcen

Spencer Bryngelson, Georgia Tech

Gülistan Butakin, Dicle University Institute of Natural and Applied Sciences

Matheus Campos, Universidade Federal Fluminense (UFF)

Fei Cao, Amherst College

Alfonso Castro, Harvey Mudd College

Diego Alexander Castro Guevara, Universidad Tecnológica de Pereira

Süleyman Cengizci, Antalya Bilim University

Wai Chan, Texas A&M University – Texarkana

Ravindra Chauhan, BITS Pilani, Pilani Campus, Rajasthan

Maya Chhetri, University of North Carolina at Greensboro

Manki Cho, University of Houston at Clear Lake

Brian Choi, University of Tennessee at Chattanooga

Vladan Čížek, University of West Bohemia

Gabino Corona Patricio, Universidad Michoacana de San Nicolás de Hidalgo

Jorge Cossio, National University of Colombia

Mabel Cuesta, Université du Littoral Côte d’Opale

Carlos Culebro, UNAM Mathematics Institute

Thinh Dang, Kansas State University

Monti Das, IIT Guwahati

Ujjal Das, BCAM-Basque Center for Applied Mathematics

Christopher Davis, Tennessee Tech

Briceyda Delgado, INFOTEC

Ashutosh Dixit, Indian Institute of Technology Jodhpur

Pavel Drábek, University of West Bohemia

Xiaochen Duan, University of Florida

Shweta Dubey, NIT Rourkela

Dipak Dulal, Eastern New Mexico University

Prerona Dutta, Xavier University of Louisiana

Gaurav Dwivedi, BITS Pilani, Pilani Campus

Mohammed El Aïdi, Universidad Nacional de Colombia

Zakaria El Allali, Mohammed First University, Oujda

Mohammad El-Hindi, Hasselt University 

Ilias ELmouki, École Hassania des Travaux Publics – MoNum

Satyanarayana Engu, National Institute of Technology Warangal

Rich Fabiano, University of North Carolina at Greensboro

Claudia Falcon, Wake Forest University

Junyuan Fang, University of Tennessee, Knoxville

Matthew Farmer, Anderson University (SC)

Lisa Fauci, Tulane University

Nalin Fonseka, University of Central Missouri

Habib Fourti, King Faisal University

Rafael Galeano, Universidad de Cartagena

Ramanath Garai, Research Scholar

Deepika Garg, Indian Institute of technology (IIT JAMMU)

Akash Kumar Gartia, National Institute of Technology Rourkela

Mohammed Tewfik Ghomari, National Higher School of Mathematics of Sidi abdellah

Mrityunjoy Ghosh, TIFR Centre for Applicable Mathematics

Christian Gilde, University of Montana

Petr Girg, University of West Bohemia

Melissa Glass, University of North Carolina Greensboro

Moisés Granados, Bowie State University 

Gleb Gribovskii, University of North Carolina Greensboro

Jean-Luc Guermond, Taxes A&M

Senoussi Guesmia, SMPT. University of The Bahamas

Aarón Guillén, Universidad Autónoma de Aguascalientes

Daniel Guo, UNC Wilmington

Diksha Gupta, Indian Institute of Technology Delhi

Shilpa Gupta, IIT Kanpur

Garima Gupta, Indian Institute of Technology Roorkee

Reema Gupta, National Institute of Technology Rourkela

Dennis Guzmán, Applied mathematics 

Amlan Kanti Halder, Woxsen University, Hyderabad, India

Keta Henderson, Elon University, NC

Sigifredo Herrón, Universidad Nacional de Colombia Sede Medellín

Ky Ho, University of Economics Ho Chi Minh City

Elliott Hollifield, UNC Pembroke

Yi Hu, Georgia Southern University

Russ Islam, University of Tokyo

Mehsin Jabel Atteya, Mustansiriyah University

Jon Jacobsen, Harvey Mudd College

Anjali Jaiswal, Jananayak Chandrashekhar University (Ballia)

Puspendu Jana, Indian Institute of Technology Guwahati

Ritabrata Jana, IISER Thiruvananthapuram

Jiya Rose Johnson, Indian Institute of Technology Madras

Anumol Joseph, SRM University-AP, Andhra Pradesh

Urvashi Joshi, IIT Roorkee

Lakshmi Sankar Kalappattil, Indian Institute of Technology Palakkad 

Akanksha Kesarwani, NIT Rourkela 

Mariam Khachatryan, Augustana University

Luu Khoa, University of science, ho chi minh city, viet nam

Lingju Kong, University of Tennessee at Chattanooga

Malindu Kooragoda, University of Peradeniya

Lukas Kotrla, University of West Bohemia in Pilsen

Deepak Kumar, Indian Institute of Technology Roorkee

Rohit Kumar, TIFR Centre for Applicable Mathematics

Prashant Kumar Pandey, VIT Bhopal University

Rupali Kumari, National Institute of Technology Rourkela 

Alexandra Kurepa, North Carolina A&T State University

Saroja Lakshmi, Wayamba University of Sri Lanka

Dhaou Lassoued, Faculty of Sciences of Gabès, Tunisia 

Thuy Le, North Carolina State University

Jesus Leon Tordecilla, Universidad del Sinú

Randy LeVeque, University of Washington

Tom Lewis, University of North Carolina at Greensboro

Yukun Li, University of Central Florida

Sijing Liu, Worcester Polytechnic Institute

Emer Lopera, Universidad Nacional de Colombia

Khoa Luu, University of Science, Ho Chi Minh City (Vietnam)

Devakar M., Visvesvaraya National Institute of Technology Nagpur

Jorge Sigfrido Macias Medina, Universidad Autónoma de Aguascalientes

Indulekha Madathil Sasi, Carnegie Mellon University

Kithmini Maddegoda, University of Kelaniya 

Gaëlle Mailly, Université du Littoral Côte d’Opale

Mohan Mallick, Department of Mathematics, VNIT Nagpur

Atanu Manna, IIT Hyderabad

Muragesh Math, S.Nijalingappa Medical College (Centre,Bagalkot)

Nsoki Mavinga, Swarthmore College

Jean Mawhin, Catholic University of Louvain

Juan Daniel Meshir, University of Guadalajara

Emiliano Morales-Lopez, Swarthmore College

Karthiga Mourougavelou, Pondicherry University

Yuhao Mu, University of Nebraska – Lincoln

Arka Mukherjee, Indian Institute of Technology Guwahati

Tuhina Mukherjee, IIT Jodhpur

Vikram Naik, BITS Pilani, Rajasthan

Kaique Nascimento, Universidade Federal Fluminense (UFF)

Subham Nayak, IISER Thiruvananthapuram

Suvendu Nayak, KIIT University Bhubaneswar, India 

Sarka Necasova, Institute of Mathematics, Czech Academy of Scinces

Nhung Nguyen, Kansas State University

Phuong Nguyen, UNC Charlotte

Thuc Nguyen, Florida State University

Dustin Nichols, High Point University

Alannio Nóbrega, Federal University of Campina Grande 

Yasmin Oliveira, Universidade Federal Fluminense 

Maria Amarakristi Onyido, Northern Illinois University

Amar Ould-Hammouda, National School of Nanoscience and Nanotechnology, Algiers

Amar Ould-Hammouda Amar, National School of Nanoscience and Nanotechnology, Sidi Abdallah, Algiers

General Ozochiawaeze, Purdue University

Subha Pal, IIT Palakkad

Ambesh Kumar Pandey, NIT Rourkela

Shashank Pandey, IIT ROORKEE

Rosa Pardo, Universidad Complutense de Madrid 

Enea Parini, Aix-Marseille Université

Apeksha Patil, Pondicherry University 

Jesse Paul, The University of North Carolina Greensboro

Mahendranath Perisetti, Institute of Mathematics, CAS

Truong Hoang Nhan Pham, University of Verona (Italy)

Chi Phan, Sam Houston State University

Mohandas Pillai, University of Tennessee Chattanooga

Brock Price, USC Salkehatchie

Anusree R, Indian Institute of Technology Hyderabad

Karan Rathore, Visvesvaraya National Institute of Technology, Nagpur

Leandro Recova, California State Polytechnic University Pomona

Nyvisalsnuk Rith, Swarthmore College

Steve Robinson, Wake Forest University

Subhajit Roy, Indian Institute of Technology Madras

Jan Rudzko, Institute of Mathematics of the National Academy of Sciences (Belarus)

Bernhard Ruf, University of Milan

Md. Abdus Saad, Hajee Mohammad Danesh Science & Technology University, Dinajpur

B Sagar, University of Central Florida 

Kiran Kumar SahaB Indian Institute of Technology Guwahati

Vivek Saha, Indian Institute of Technology (IIT) Kanpur

Iswari Sahu, National Institute of Technology Rourkela

Baghdad Said, University of Saida

Alberto Saldaña, Universidad Nacional Autónoma De México

Diana Milena Sánchez Monsalve, Universidad Nacional de Colombia, Manizales

Arturo Sanjuán, Universidad Distrital Francisco José de Caldas

Santosh Ballav Sapkota, Miami University

Abhishek Sarkar, Indian Institute of Technology Jodhpur

Sarath Sasi, IIT Palakkad

Tuba Satilmis, Gebze Teknical University

Sanchita Satpathy, Indian Institute of Technology (IIT), Jodhpur

Ridgway Scott, University of Chicago

Deepthika Senaratne, Fayetteville State University

Sandamalee Seneviratne, The Open University of Sri Lanka

Rajeswari Seshadri, Pondicherry University, India

Ryan Severance, North Carolina School of Science an Mathematics

Jaffar Ali Shahul Hameed, Florida Gulf Coast University

Lovelesh Sharma, Indian Institute of Technology Jodhpur

Ramjee Sharma, University of North Georgia

Prathviraj Sharma, University College Of Engineering Tindivanam Anna University Chennai Tamilnadu 

Aniruddha Kumar Sharma, Indian Institute of Technology Roorkee

Ratnasingham Shivaji, University of North Carolina at Greensboro

Pray Kumari Singh, University of Petroleum and Energy Studies

Sachin Singh, University of Delhi

Vishva Vivek Singh, Bhimrao Ambedkar University Agra

Anshika Singhal, Indian Institute of Technology Roorkee, India

Flavia Smarrazzo, Univesrity Campus Bio-Medico di Roma

Byungjae Son, Ohio Northern University

Ablanvi Songo, Université de Sherbrooke

Caterina Sportelli, The University of Western Australia

Thaicia Stona de Almeida, University at Buffalo

Surbhi, Bennett University

Anežka Švandová, University of West Bohemia in Pilsen

Mohyeedden Sweidan, Concord University

Said Tarrabti, Ensa Agar Ibn Bohr University

Pamodya Teshini Thalawage, University of Kelaniya

Kim Thapa Magar, St.Xavier’s College

Xiaochuan Tian, UC San Diego

Sweta Tiwari, Indian Institute of Technology Guwahati

Archi Tiwari, School of Sciences, Woxsen University, Hyderabad, India

Deeksha Tomer, IIT Bhubaneswar 

Lan Phuc Tran, Wake Forest University

Vinayak Mani Tripathi, IIT Jodhpur

Om Tripathi, Indian Institute of Technology Roorkee

Son Tu, Baylor University

Ani Tumanyan, Russian-Armenian University

Axel Turnquist, BIMSA

Dario Valdebenito, Ave Maria University

Cong Van, University of North Carolina at Charlotte

Carlos Velez, Universidad Nacional de Colombia

Marcelo Velloso Flamarion Vasconcellos, Pontifical Catholic University of Peru

Akhilesh Verma, Indian Institute of Technology Roorkee

Amar Pal Verma, National institute of Technology Rourkela

Ram Baran Verma, SRM University AP

Anh Khoi Vo, Department of Mathematics in University of Houston

Madhav Wagley, Florida A&M University

Mitty Walia, Indian Institute of Technology Roorkee

Min Wang, Kennesaw State University

Dinithika Wanigasooriya, University of Peradeniya

Caroline Wyrick, UNC Greensboro

Xiaohuan Xue, Jacksonville State University

Neelam Yadav, National Institute of Technology, Warangal

Bo Yang, Kennesaw State University

Mengxuan Yang, Princeton University

Abdelbadie Younes, The National School of Artificial Intelligence – Algiers 

Bo Zhang, Fayetteville State University

Yi Zhang, University of North Carolina at Greensboro

Zhenbu Zhang, Jackson State University

Li Zhu, University of Minnesota Duluth

Abstracts submission Window Is now open

All presenters must register for the conference. Remember to register early as space is limited.

Abstract File Instructions

An abstract is a one-paragraph summary of your research project. It should provide a concise overview of the context and scope of your work. Please follow this check-list when submitting the abstract for your presentation as part of your conference registration:

• The language should be understandable by a non-specialist.
• In your presentation title, avoid, if possible, any mathematical symbols; if you must use them then include the corresponding LaTeX code. Never include LaTeX code with user-defined commands because such a piece of code cannot be compiled outside your source file.
• If you are an undergraduate, for your abstract to be considered you will need to provide contact information of your faculty research mentor in the submission form. Furthermore, please ask your faculty research mentor to email Yi Zhang endorsing the submitted abstract at y_zhang7@uncg.edu.

Submission Instructions

There will two categories of abstracts; general and undergraduate. Each will have a different submission link and set of instructions. Be sure to read instructions carefully before you begin a submission form.

For your abstract to be considered, you will need to have first registered for the UNCG PDE 2025 Conference. Once your name appears on the Registration Page, you may submit an abstract using the same contact information as you did for your registration form. 

Each presenter may only submit one abstract.

Once submitted, an abstract can only be updated by contacting Yi Zhang at y_zhang7@uncg.edu.

Click here to download the template .tex file.

Click here to view a sample abstract PDF.

You can expect to hear back from Yi Zhang. Please allow at least two weeks for review. 

General Abstract Submission Instructions

1. You will need to upload both the .tex file and compiled PDF file of your abstract according to the posted template above. In your abstract, do not use any custom commands, additional packages, macros, etc. 
2. Name your file with your last name followed by your first initials; e.g., Matthew Farmer would name his files as “Farmer_M.tex”
3. Presentation titles should have no mathematical symbols and/or notation. Greek letters, however, are acceptable.

General Submission Link

Undergraduate Abstract Submission Instructions

1. To be considered, you must have approval from a faculty research mentor. You will need to provide contact information of your research mentor in the submission form. Please ask your research mentor to email Yi Zhang endorsing the submitted abstract at y_zhang7@uncg.edu.
2. Name your file with your last name followed by your first initials; e.g., Matthew Farmer would name his files as “Farmer_M.tex”
3. You will need to upload both the .tex file and compiled PDF file of your abstract according to the posted template above. In your abstract, do not use any custom commands, additional packages, macros, etc. 
4. Presentation titles should have no mathematical symbols and/or notation. Greek letters, however, are acceptable.

Undergraduate Submission Link

Schedule Posted

October 5^th

The program for the conference has been posted. To see the specific schedule which displays information on contributed talks, please click on the PDF link at the top of the program tab.

Abstract Submission Deadline Moves

September 8^th

In light of popular demand, the deadline to submit general and undergraduate abstracts has been extended to September 19th.

Abstracts Are Being Posted

July 21^st

Accepted abstracts are being published to the UNCG PDE Virtual Conference Website under the ‘Abstracts of Contributed Talks’ tab. You may view each abstract by clicking on the abstract title. This will open a new tab which will display a PDF of the abstract file.

The abstract submission window has opened

June 1^st

The official abstract submission window is live. Submission links and instructions for general abstracts and undergraduate abstracts can be found on the ‘Abstract Submission’ tab. Carefully read the given instructions. A decision on abstract acceptance can be expected within two weeks.

Undergraduate Research Presentations

May 1^st

The 3^rd UNCG Virtual PDE Conference also welcomes undergraduate research presentations. Prospective presentations must be endorsed by a faculty research mentor to be considered. Please see the ‘Abstract Submissions’ tab for instructions.