Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. Part I

被引：1

作者：

Blokhin, A. M. ^{[1
]}

Tkachev, D. L.

Baldan, L. O.

机构：

[1] Inst Math, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

well-posedness; initial boundary value problem; stability of shock waves; Lyapunov's stability;

D O I：

10.1016/j.jmaa.2006.08.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The shock wave in a viscous gas which is treated as a strong discontinuity is unstable against small perturbations [A.M. Blokhin, On stability of shock waves in a compressible viscous gas, Matematiche LVII (1) (2002) 3-19]. We suggest such additional boundary conditions that a modified (with account to these conditions) linear initial-boundary value problem on stability of the shock wave does not admit Hadamard-type ill-posedness examples. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：408 / 423

页数：16

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