42 citations · 96 across the 12 of their papers we have counts for
15 papers
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…
Concentration versus absorption for the Vlasov-Navier-Stokes system on bounded domains
Lucas Ertzbischoff, Daniel Han-Kwan, Ayman Moussa
We study the large time behavior of small data solutions to the Vlasov-Navier-Stokes system set on , for a smooth bounded domain of , with h…
Persisting entropy structure for nonlocal cross-diffusion systems
Helge Dietert, Ayman Moussa
For cross-diffusion systems possessing an entropy (i.e. a Lyapunov functional)we study nonlocal versions and exhibit sufficient conditions to ensure that thenonlocal version inheri…
Large time behavior of the Vlasov-Navier-Stokes system on the torus
Daniel Han-Kwan, Ayman Moussa, Iván Moyano
We study the large time behavior of Fujita-Kato type solutions to the Vlasov-Navier-Stokes system set on . Under the assumption that the initial s…
From non-local to classical SKT systems: triangular case with bounded coefficients
Ayman Moussa
This paper solves partially a question suggested by Fontbona and Méléard in a paper published in 2015. The issue is to obtain rigorously cross-diffusion systems à la Shigesada-Kawa…
Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
Daniel Han-Kwan, Évelyne Miot, Ayman Moussa +1
We prove a uniqueness result for weak solutions to the Vlasov-Navier-Stokes system in two dimensions, both in the whole space and in the periodic case, under a mild decay condition…