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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.AP2024
Stability of a cross-diffusion system and approximation by repulsive random walks: a duality approach
Vincent Bansaye, Ayman Moussa, Felipe Muñoz-Hernández
We consider conservative cross-diffusion systems for two species where individual motion rates depend linearly on the local density of the other species. We develop duality estimat…