Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions

被引：43

作者：

Zhao, HJ ^{[1
]}

机构：

[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China

[2] SISSA, ISAS, I-34014 Trieste, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 163卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jdeq.1999.3722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper. we show that a strong planar rarefaction wave is nonlinear stable. namely it is an attractor for the relaxation approximation of the scalar conservation laws in several space dimensions. Compared with former results obtained by T. P. Liu (1987. Comm. Math. Phys. 108, 153, 175) and T. Luo (1997, J. Differential Equations 133. 255-279). our main novelty lies in the fact that the planar rarefaction waves do not need to be small, and in the one-dimensional case, the initial disturbance can also be chosen arbitrarily large. (C) 2000 Academic Press.

引用

页码：198 / 222

页数：25

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