A quantitative compactness estimate for scalar conservation laws

被引：13
|
作者：
De Lellis, C [1 ]
Golse, F
机构：
[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland
[2] Lab JL Lions, F-75252 Paris, France
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2005年 / 58卷 / 07期
关键词：
D O I：
10.1002/cpa.20082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the case of a scalar conservation law with convex flux in space dimension one., P. D. Lax proved [Comm. Pure and Appl. Math. 7 (1954)] that the semigroup defining the entropy solution is compact in L-loc(l) for each positive time. The present note gives an estimate of the E-entropy in L-loc(l) of the set of entropy solutions at time t > 0 whose initial data run through a bounded set in L-1. (c) 2005 Wiley Periodicals, Inc.
引用
收藏
页码：989 / 998
页数：10
相关论文
共 50 条
12345