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.
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页码：1100 / 1117
页数：18
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