Uniqueness of the solution to the Vlasov-Poisson system with bounded density

被引：150

作者：

Loper, Gregoire ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camile Jordan, F-69622 Villeurbanne, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2006年 / 86卷 / 01期

关键词：

Vlasov-Poisson system; optimal transportation; transport equations;

D O I：

10.1016/j.matpur.2006.01.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show uniqueness of weak solutions to the Vlasov-Poisson system on the only condition that the macroscopic density rho defined by rho(t, x) = integral(Rd) f (t, x, xi) d xi is bounded in L-infinity. Our proof is based on optimal transportation. (C) 2006 Elsevier SAS. All rights reserved.

引用

页码：68 / 79

页数：12

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