3 papers
math.NA2026
A Hybrid Physics-Informed Neural Network Framework for Subcritical and Supercritical Dynamics in Multi-Species Chemotaxis
Hamid El Bahja, Jan C. Riedel, Peter Jung
We study a two-species chemotaxis system that exhibits two qualitatively different regimes: subcritical dynamics, in which solutions remain smooth, and supercritical dynamics, in w…
math.AP2024
Regularity for obstacle problems to anisotropic parabolic equations
Hamid El Bahja
Following Dibenedetto's intrinsic scaling method, we prove local Hölder continuity of weak solutions to obstacle problems related to some anisotropic parabolic equations under the…
cs.LG2023
A physics-informed neural network framework for modeling obstacle-related equations
Hamid El Bahja, Jan Christian Hauffen, Peter Jung +2
Deep learning has been highly successful in some applications. Nevertheless, its use for solving partial differential equations (PDEs) has only been of recent interest with current…