A New Perspective on Wasserstein Distances for Kinetic Problems

被引：7
|
作者：
Iacobelli, Mikaela [1 ]
机构：
[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2022年 / 244卷 / 01期
关键词：
VLASOV-POISSON SYSTEM; QUASI-NEUTRAL LIMIT; HELLINGER-KANTOROVICH DISTANCE; GLOBAL CLASSICAL-SOLUTIONS; MEAN-FIELD; EMPIRICAL MEASURES; TRANSPORT; EQUATION; PROPAGATION; EXISTENCE;
D O I：
10.1007/s00205-021-01705-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 (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.
引用
收藏
页码：27 / 50
页数：24
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