Abstracts > Rey Thomas

Hydrodynamic Limit of Granular Gases toward Pressureless Euler in Dimension 1 (and Beyond?)
Thomas Rey  1  
1 : Laboratoire Paul Painlevé - UMR 8524  (LPP)  -  Website
Université de Lille, Sciences et Technologies, Centre National de la Recherche Scientifique : UMR8524
Université de Lille - Sciences et technologiesU.F.R. de Mathématiques 59 655 Villeneuve dÁscq Cedex -  France

In this talk, I will present a joint work with P.-E. Jabin where we investigate the behavior of granular gases in the limit of small Knudsen number, that is very frequent collisions. We deal with the strongly inelastic case, in one dimension of space and velocity. We are able to prove the convergence toward the pressureless Euler system. The proof relies on dispersive relations at the kinetic level, which leads to the so-called Oleinik property at the limit. I will also try to convince you that our technique, although one dimensional, might be extended to the multi-d case.


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