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.

引用

页码：659 / 677

页数：19

共 11 条

[1]

[Anonymous], MEM AM MATH SOC

[2]

BAITI P, 1997, GEOMETRICAL OPTICS R, P31

[3] Oleinik type estimates and uniqueness for n x n conservation laws [J].