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math.AP2026
Double screening in the training dynamics of variational physics-informed neural networks for heterogeneous coupled parabolic systems
Ali Ouattara Kouma, Gossrin Jean-Marc Bomisso
We analyze the training dynamics of variational physics-informed neural networks applied to linear coupled parabolic convection--diffusion--reaction systems, called heterogeneous w…
math.AP2026
Maximum principle and local stability for a class of coupled nonlinear thermo--reaction--phase systems
Gossrin Jean-Marc Bomisso, Ali Ouattara Kouma, Marie Esther Anassé
We study a nonlinear coupled system of partial differential equations arising from thermo--reaction--phase models. The system combines a heat diffusion equation, temperature-depend…