Uniform convergence to equilibrium for granular media

Details Uniform convergence to equilibrium for granular media Uniform convergence to equilibrium for granular media

2012-04-18

arxiv.org/abs/1204.4138v1

Mathematics

Analysis of PDEs

Scientific paper

We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials, improving in particular results by J. A. Carrillo, R. J. McCann and C. Villani. The method is based on studying the dissipation of the Wasserstein distance between a solution and the steady state.

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