ON A TIME-DEPENDENT TRANSPORT EQUATION IN A LIPSCHITZ DOMAIN

被引：5

作者：

Girault, V. ^{[1
,2
]}

Scott, L. Ridgway ^{[3
]}

机构：

[1] UPMC Paris 6, UMR 7598, F-75005 Paris, France

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2010年 / 42卷 / 04期

关键词：

transport equation; Lipschitz domain; tangential velocity;

D O I：

10.1137/09077285X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of the solution of a time-dependent transport equation with a divergence-free driving velocity that is L-1 in time and H-1 in space, in a Lipschitz domain of R-d, tangential on the boundary. The proof is done by regularization with a special mollifier.

引用

页码：1721 / 1731

页数：11

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