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math.AP2013
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…
math.AP2013
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…
math.AP2006
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
L. Desvillettes, G. Furioli, E. Terraneo
We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the so…