A New Perspective on Wasserstein Distances for Kinetic Problems-Reference-Cited by-同舟云学术

A New Perspective on Wasserstein Distances for Kinetic Problems

Published:2022-02-07 Issue:1 Volume:244 Page:27-50
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Iacobelli Mikaela

Abstract

AbstractWe 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 (J Math Pures Appl (9) 86(1):68–79, 2006) and Dobrushin (Funktsional Anal i Prilozhen 13:48–58, 1979) on Vlasov-type equations, and we present an application to quasi-neutral limits.

Funder

Swiss Federal Institute of Technology Zurich

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00205-021-01705-9.pdf

Reference62 articles.

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