Partial Differential Equations Conference

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”

2:20 – 2:40p: Rudzko, J. “Classical and Mild Solution of the Cauchy Problem for a Mildly Quasilinear Wave Equation with Discontinuous and Distributional Initial Conditions”

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

2:00 – 2:20p: Wang, G. “Higher order time discretization method for a class of semilinear stochastic partial differential equations with multiplicative noise”

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

2:40 – 3:00p: Xue, X. “Convergent Finite Difference Methods with Higher Order Local Truncation Errors for Stationary Hamilton-Jacobi Equations”

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”

2:40 – 3:00p: Ansari, H. “Existence, Uniqueness, Boundedness and Long-term Behavior of Solutions to an SIR Model with Intermittent Treatment”

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”

11:30 – 11:50a: Tewfik, G.M. “A Struwe compactness result for a critical p-Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds”

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”

2:30 – 2:50p: Henderson, A. “On the effects of density-dependent dispersal on ecological models with logistic and weak Allee type growth terms”

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”

2:30 – 2:50p: Harkat, S. ” Asymptotic behavior of solutions of nonlinear parabolic equations defined on non-cylindrical domains becoming unbounded”

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 

1:00 – 1:20p: Le, T. “A globally convergent numerical method for solving a coeffocient inverse problem for a hyperbolic equation with experimental data”

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

1:00 – 1:20p: Baibeche, S. “On the stability of transmission problem for wave equations under effects of microtemperatures in the presence of Neutral delay”

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”