Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems

被引：17

作者：

Raoofi, Mohammadreza ^{[2
]}

Zumbrun, Kevin ^{[1
]}

机构：

[1] Indiana Univ, Bloomington, IN 47405 USA

[2] Max Planck Inst Math Sci, Leipzig, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 04期

基金：

美国国家科学基金会;

关键词：

GREEN-FUNCTION BOUNDS; SPECTRAL STABILITY; REAL VISCOSITY; WAVES; INSTABILITY; FRAMEWORK; CRITERIA;

D O I：

10.1016/j.jde.2008.10.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending to systems of hyperbolic-parabolic conservation laws results of Howard and Zumbrun for strictly parabolic systems, we show for viscous shock profiles of arbitrary amplitude and type that necessary spectral (Evans function) conditions for linearized stability established by Mascia and Zumbrun are also sufficient for linearized and nonlinear phase-asymptotic stability, yielding detailed pointwise estimates and sharp rates of convergence in L-P, 1 <= p <= infinity. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1539 / 1567

页数：29

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