## Contributed Talks

Each contributed talk will take place in the corresponding Zoom Breakout Rooms. The talks will be 15 minutes each with 5 minutes for questions.

**All times are Eastern Daylight Time (GMT -4:00).**

## Friday, June 9th

**Today’s afternoon parallel sessions will take place from 2:00 to 3:40p.**

### Friday Afternoon Session 1 | Five Talks

#### Chair : Ananta Acharya

**2:00 – 2:20p: **Talbi, I. “Efficient Chaotic Generators for Image Encryption Algorithms”

**2:40 – 3:00p:** Matsoukas, A. “The double phase Dirichlet problem when the lowest exponent equals to 1”

**3:00 – 3:20p:** Zhang, B. “Stability and Formulas for Lyapunov Functions for Systems of Partial Differential Equations”

**3:20 – 3:40p:**

### Friday Afternoon Session 2 | Five Talks

#### Chair : Oscar Agudelo

**2:00 – 2:20p:** El Hajj, L. “Radial symmetry for an elliptic PDE with a free boundary”

**2:20 – 2:40p:** Nichols, D. “A uniqueness result for a *p*-Laplacian infinite semipositone problem involving nonlinear boundary conditions”

**2:40 – 3:00p:** Osorio, S. H. “Shooting method applied to a semipositone Φ-Laplacian problem”

**3:00 – 3:20p:** Agudelo, O. “Hamiltonian Elliptic systems with concave-convex nonlinearities, Part 1”

**3:20 – 3:40p:** Vélez, C. “Hamiltonian Elliptic systems with concave-convex nonlinearities, Parte II”

### Friday Afternoon Session 3 | Five Talks

#### Chair : Satyajith Bommana Boyana

**2:20 – 2:40p:** Chao, Z. “An effective finite element iterative solver for a Poisson-Nernst-Planck ion channel model”

**3:00 – 3:20p:** Boyana, S.B. “Dual-Wind Discontinuous Galerkin Method and its Application to an Optimal Control Problem”

**3:20 – 3:40p:** Abderrahim, S. M. “A Numerical Analysis of Losbia Bortana’s Life Cycle with Real-Seasonal Temperature Data”

### Friday Afternoon Session 4 | Five Talks

#### Chair : Senoussi Guesmia

**2:00 – 2:20p:** Mammar, I. “Prion disease models with pulsed effect”

**2:20 – 2:40p:** Dimou, H. “Alienation problem for the system of two functional equation”

**3:00 – 3:20p:** Zhang, Z. “Traveling wave solutions for a general epidemic model”

**3:20 – 3:40p:** Guesmia, S. “Elasticity system in noncylindrical domains with stretched cross-sections”

### Friday Afternoon Session 5 | Five Talks

#### Chair : Lukas Kotrla

**2:00 – 2:20p:** Cengizci, S. “Simulating magnetohydrodynamic duct flows at high Hartmann numbers”

**2:20 – 2:40p:** Valdebenito, D.A. “Boundary layer problems involving anisotropic viscous coefficients”

**2:40 – 3:00p:** Kotrla, L. “Fluid flow through porous media over included bedrock”

**3:00 – 3:20p:** Wang, T. “Periodic solutions of incompressible Navier-Stokes flow in a 2D bounded domain”

**3:20 – 3:40p: **Wang, Z-Q. “Coupled nonlinear elliptic equations with mixed couplings”

## Saturday, June 10th

**Today’s six morning parallel sessions will take place from 11:10a to 12:10p.**

### Saturday Morning Session 1 | Three Talks

#### Chair : Yi Hu

**11:10 – 11:30a:** El Aïdi, M. “On an upper bound of the number of the negative eigenvalues of a generalized Schrödinger operator on a tree”

**11:30 – 11:50a:** Gupta, S. “Generalized Choquard Schrodinger equation with vanishing potential in homogeneous fractional Musielak Sobolev spaces”

**11:50 – 12:10p:** Hu, Y. “Rotational Nonlinear Schrödinger Equation with Harmonic or Repulsive Potentials”

### Saturday Morning Session 2 | Three Talks

#### Chair : Pamela Guerrero

**11:10 – 11:30a:** Onyido, M. A. “Asymptotic dynamics of a three-species hybrid competition”

**11:30 – 11:50a:** Yang, M. “Magic angles of twisted multilayer graphene”

**11:50 – 12:10p:** Guerrero, P. “Study of the modified BBM equation”

### Saturday Morning Session 3 | Three Talks

#### Chair : Siham Boukarabila

**11:10 – 11:30a:** Arora, R. “A large class of nonlocal elliptic equations wit singular nonlinearities”

**11:30 – 11:50a:** Han, Z. “Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications”

**11:50 – 12:10p:** Boukarabila, S. “Nonlocal KPZ-type system”

### Saturday Morning Session 4 | Three Talks

#### Chair : Dhabaleswar Mohapatra

**11:10 – 11:30a:** Baghdad, S. “On partial fractional differential equations in Fréchet spaces”

**11:50 – 12:10p:** Mohapatra, D. “Time fractional heat equation of (*n + 1)*-dimension with type-1 and type-2 fuzzy uncertainty”

### Saturday Morning Session 5 | Three Talks

#### Chair : Gerard Awanou

**11:10 – 11:30a:** Awanou, G. “On uniqueness of weak solutions to the second boundary value problem for generated prescribed Jacobian equations”

**11:30 – 11:50a:** Faraci, F. “Some uniqueness results for strongly singular problems”

**11:50 – 12:10p:** Kumar, D. “Hölder regularity results for a class of nonlocal double phase problems”

### Saturday Morning Session 6 | Three Talks

#### Chair : Ani Tumanyan

**11:10 – 11:30a:** Tumanyan, A. “Normal solvability and the Fredholm properties for a class of regular hypoelliptic operators”

**11:30 – 11:50a: **Baymout, L. “The Bifurcations of limit cycles from a class of non-linear differential system”

**11:50 – 12:10p: **

**Today’s afternoon parallel sessions will take place from 2:10p to 3:10p.**

### Saturday Afternoon Session 1 | Three Talks

#### Chair : Amlan Kanti Halder

**2:10 – 2:30p:** Halder, A. K. “Symmetries and Reductions of a Variable-Coeffcient Hirota-Satsuma Coupled Korteweg-de Vries System”

**2:50 – 3:10p:** Soufiane, B. “Competition model between the same species in chemostat”

### Saturday Afternoon Session 2 | Three Talks

#### Chair : Dustin Nichols

**2:10 – 2:30p:** Younes, A. “Regularizing effects on elliptic equations involving a superquadratic gradient term”

**2:30 – 2:50p:** Chaayra, T. “Gaussian estimation for discretely observed Brennan-Schwartz diffusion process based on martingales approach”

**2:50 – 3:10p: **Taarabti, S. “On a fourth-order Neumann problem in variable exponent spaces”

### Saturday Afternoon Session 3 | Three Talks

#### Chair : Tina Mai

**2:10 – 2:30p:** Olunna, M. “Microscopy image segmentation using highly nonlinear PDE”

**2:30 – 2:50p:** Mai, T. “Multiscale simulations for dual-continuum Richards equations”

**2:50 – 3:10p:** Nguyen, P. “Numerical differentiation by the polynomial-exponential basis”

### Saturday Afternoon Session 4 | Three Talks

#### Chair : Nirjan Biwas

**2:10 – 2:30p:** Cossio, J. “Shooting from singularity to singularity and a quasilinear *p*-Laplacian-Beltrami equation with indefinite weight”

**2:30 – 2:50p:** Fonseka, N. “Σ-shaped bifurcation curves for classes of reaction diffusion equations with non-linear boundary conditions”

**2:50 – 3:10p:** Biwas, N. “Fourth order semipositone problems on * R*^N”

### Saturday Afternoon Session 5 | Two Talks

#### Chair : Eunkyung Ko

**2:10 – 2:30p:** Ko, E. “Multiplicity result of positive solutions for a Schrödinger-type singular elliptic equation”

**2:50 – 3:10p:** Amira, B. A. “Asymptotic behavior of positive solutions of a nonlinear elliptic problem involving the fractional *p*-Laplacian”

## Sunday, June 11th

**Today’s morning sessions parallel sessions will take place from 11:10a to 12:10p.**

### Sunday Morning Session 1 | Three Talks

#### Chair : Falko Baustian

**11:10 – 11:30a:** Soares, M. “Energy Estimates for Seminodal Solutions to na Elliptic System with Mixed Couplings”

**11:30 – 11:50a:** Atteya, M. J. “Notes of the Yang-Baster Equation”

**11:50 – 12:10p: **Baustian, F. “Fučík systems for Dirichlet and Neumann boundary conditions”

### Sunday Morning Session 2 | Three Talks

#### Chair : Nalin Fonseka

**11:10 – 11:30a: **—

**11:30 – 11:50a:** Ardra, A. “On a shape derivative formula for the Robin *p*-Laplace eigenvalue problem with a potential”

**11:50 – 12:10p: **Somia, A. “The fractional regularity of the fractional heat equation and applications to deterministic generalized KPZ equation”

### Sunday Morning Session 3 | Three Talks

#### Chair : Manki Cho

**11:10 – 11:30a:** Sagar, B. “An efficient mesh free numerical approach for solving fractional Gilson – Pickering equation arising in plasma physics”

**11:30 – 11:50a:** Ye, Q. “Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation”

**11:50 – 12:10p:** Cho, M. “Numerical Analysis of the electric potential of 2D electrostatic model via Steklov eigenproblems”

### Sunday Morning Session 4 | Three Talks

#### Chair : Jochen Merker

**11:10 – 11:30a:** Pardo, R. “Uniform a-priori estimates for subcritical semilinear elliptic equations with a Carathéodory non-linearity”

**11:30 – 11:50a: **Sarkar, A. “On critically couples (s_1,s_2)-fractional system of Schödinger equations with Hardy potential”

**11:50 – 12:10p:** Merker, J. “How to obtain *L^p-L^q* estimates for elliptic and parabolic equations via logarithmic inequalities”

### Sunday Morning Session 5 | Three Talks

#### Chair : Omar Boussaid

**11:10 – 11:30a: **Omar, B. “New criteria for quasi-convexity of quadratic forms in two dimensions”

**11:30 – 11:50a: **—

**11:50 – 12:10p: **Nastas, E. “On Semi-linear Evolution Equations & Cauchy Theorem”

**Today’s afternoon sessions parallel sessions will take place from 1:00 to 2:40p.**

### Sunday Afternoon Session 1 | Five Talks

#### Chair : Bo Yang

**1:00 – 1:20p:** Ahrami, M. “Estimate bounds of the first eigenvalue of equations containing the p-Laplacian operator”

**1:20 – 1:40p:** El Allaoui, A. “Solvability of Langevin fractional differential equation of higher-Order with integral boundary conditions”

**1:40 – 2:00p:** Yang, B. “Radially symmetric positive solutions of the Dirichlet problem for *p*-Laplacian equation”

**2:00 – 2:20p:** Bobvok, V. “Improved Friedrichs inequality for a subhomogeneous embedding”

**2:20 – 2:40p:** Dieb, A. “Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods”

### Sunday Afternoon Session 2 | Five Talks

#### Chair : Satyanarayana Engu

**1:00 – 1:20p:** Abney, R. “Nonradiating orbital motions”

**1:20 – 1:40p:** Ho, K. “The boundedness of solutions to elliptic problems involving double phase operator and critical growth”

**1:40 – 2:00p:** Engu, S. “On the solutions of a forced Burgers equation”

**2:00 – 2:20p:** Kumar, A. “Strict Monotonicity of the Torsional Rigidity over Annular Domains”

**2:20 – 2:40p:** Allaoui, Y. “Existence of Solutions of fractional Lane Eden equation with integral boundary condition”

### Sunday Afternoon Session 3 | Five Talks

#### Chair : Byungjae Son

**1:00 – 1:20p:** Son, B. “Positive solutions to one-dimensional double phase problems”

**1:20 – 1:40p: **Acharya, A. “The diffusive Lotka-Volterra competition model in fragmented patches I: Coexistence”

**1:40 – 2:00p:** Jana, R. “Positive solutions for fractional p- Laplace semipositone problem with superlinear growth”

**2:00 – 2:20p:** Li, S. “On the Maxwell-Bloch System in the Sharp-Line Limit Without Solitons”

**2:20 – 2:40p:** Sengouga, A. “Explicit estimates for the energy of a traveling string damped at one end”

### Sunday Afternoon Session 4 | Five Talks

#### Chair Thu Thu Anh Le

**1:20 – 1:40p:** Khoa, V. A. “An explicit Fourier-Klibanov method for an age-structured population diffusion Gompertz model”

**1:40 – 2:00p: **—

**2:00 – 2:20p:** Sahoo, A.K. “Physics Informed Neural Networks for Approximating the Solutions to Vibration Equation of Large Membranes”

**2:20 – 2:40p:** Le, T. T. A. “A sampling-type method combined with deep learning for inverse scattering with one incident wave”

### Sunday Afternoon Session 5 | Five Talks

#### Chair : Jingchun Chen

**1:20 – 1:40p:** He, C. “Vlasov-Poisson-Fokker-Planck equation in modulation space”

**1:40 – 2:00p:** Chen, J. “Fundamental solution of fractional Kolmogorov-Fokker-Planck equation”

**2:00 – 2:20p:** Bag, M. “Optimal Boundary Control For The Cahn-Hilliard-Navier-Stokes Equations”

**2:20 – 2:40p:** Ghosh, M. “Isoperimetric inequalities for Zaremba problems”