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math.AP2025
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
math.AP2016★ 1 cited
The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
Olivier Glass, Daniel Han-Kwan, Ayman Moussa
In this paper, we study the Vlasov-Navier-Stokes system in a 2D pipe with partially absorbing boundary conditions. We show the existence of stationary states for this system near s…
math.AP2016
Entropic structure and duality for multiple species cross-diffusion systems
Thomas Lepoutre, Ayman Moussa
This paper deals with the existence of global weak solutions for a wide class of (multiple species) cross-diffusions systems. The existence is based on two different ingredients: a…