A new perspective on Wasserstein distances for kinetic problems
Mikaela Iacobelli
TL;DR
This paper introduces a novel class of Wasserstein-type distances tailored for kinetic equations, enhancing classical stability estimates and applying to quasineutral limits.
Contribution
It presents a new Wasserstein-type distance for kinetic problems, improving existing estimates and enabling analysis of quasineutral limits.
Findings
Improved stability estimates for Vlasov-type equations.
Application of new distances to quasineutral limits.
Enhanced understanding of convergence to equilibria.
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.
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