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
收藏
页码：1721 / 1731
页数：11
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