A sharp decay estimate for positive nonlinear waves

被引：14
|
作者：
Bressan, A
Yang, T
机构：
[1] SISSA, I-34014 Trieste, Italy
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2004年 / 36卷 / 02期
关键词：
hyperbolic conservation laws; positive nonlinear waves; Burgers's equation;
D O I：
10.1137/S0036141003427774
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources.
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页码：659 / 677
页数：19
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