Global stability of strong rarefaction waves for the generalized KdV-Burgers equation

被引：19

作者：

Duan, Ran

Zhao, Huijiang ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[3] Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

KdV-Burgers equation; strong rarefaction waves; global stability; continuity argument;

D O I：

10.1016/j.na.2006.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the global stability of strong rarefaction waves for the generalized KdV-Burgers equation. In contrast to former results obtained by Z.A. Wang and C.J. Zhu [Stability of the rarefaction wave for the generalized KdV-Burgers equation, Acta Math. Sci. 22B (3) (2002) 319-328], ours do not require the strength of the rarefaction waves to be small and the initial disturbance can also be chosen large. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1100 / 1117

页数：18

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