A new perspective on Wasserstein distances for kinetic problems

Abstract

We introduce a new class of Wasserstein-type distances specifically designed to tackle questions concerning stability and convergence to equilibria for kinetic equations. Thanks to these new distances, we improve some classical estimates by Loeper and Dobrushin on Vlasov-type equations, and we present an application to quasineutral limits.

arXiv comment19 pages. Minor modifications following the referees' suggestions

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