Stability of one-dimensional boundary layers by using Green's functions

被引：38

作者：

Grenier, E ^{[1
]}

Rousset, F ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, CNRS, UMPA, UMR 5669, F-69364 Lyon 07, France

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2001年 / 54卷 / 11期

关键词：

D O I：

10.1002/cpa.10006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to investigate the stability of one-dimensional boundary layers of parabolic systems as the viscosity goes to 0 in the noncharacteristic case and, more precisely, to prove that spectral stability implies linear and nonlinear stability of approximate solutions. In particular, we replace the smallness condition obtained by the energy method [10, 13] by a weaker spectral condition. (C) 2001 John Wiley & Sons, Inc.

引用

页码：1343 / 1385

页数：43

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