4 papers · 1 filter
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…
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…
Existence theory for a kinetic-fluid coupling when small droplets are treated as part of the fluid
Saad Benjelloun, Laurent Desvillettes, Ayman Moussa
We consider in this paper a spray constituted of an incompressible viscous gas and of small droplets which can breakup. This spray is modeled by the coupling (through a drag force…
Entropy, Duality and Cross Diffusion
Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa
This paper is devoted to the use of the entropy and duality methods for the existence theory of reaction-cross diffusion systems consisting of two equations, in any dimension of sp…