University of Birmingham > Talks@bham > Analysis seminar > Long time behaviour for the granular media equation

Long time behaviour for the granular media equation

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If you have a question about this talk, please contact José Cañizo.

The granular media equation is a non linear Fokker-Planck type equation, derived from the Boltzmann equation, which models the evolution of a set of particles subject to almost elastic collisions. Studying the long time behaviour of its solutions has recently raised much attention, by entropy dissipation techniques, based on its interpretation as a gradient flow in the space of probability measures, or by contraction properties in Wasserstein distance, also linked with the optimal transport problem. We will review these results, and present a new method, based on estimating the dissipation of this distance along the flow: this method enables to cover the physically relevant potentials and can hopefully be useful for other models. This is joint work with J. A. Carrillo (London) I. Gentil (Lyon) and A. Guillin (Clermont-Ferrand).

This talk is part of the Analysis seminar series.

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