Stability of the rarefaction wave for the generalized KdV-Burgers equation

被引：29

作者：

Wang, Z

Zhu, CJ

机构：

[1] Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China

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

来源：

ACTA MATHEMATICA SCIENTIA | 2002年 / 22卷 / 03期

关键词：

XdV-Burgers equation; rarefaction wave; a priori estimate; L-2-energy method;

D O I：

10.1016/S0252-9602(17)30301-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the stability of the rarefaction wave for the generalized KdV-Burgers equation [GRAPHICS] Roughly speaking, under the assumption that u(-) < u(+), the solution u(x, t) to Cauchy problem (1) satisfying (sup)(x∈R)\u(x, t) - u(R)(x/t)\ --> 0 as t --> infinity, where u(R)(x/t) is the rarefaction wave of the non-viscous Burgers equation u(t) + f(u)(x) = 0 with Riemann initial data [GRAPHICS]

引用

页码：319 / 328

页数：10

共 15 条

[1] NONLINEAR ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR CONSERVATION-LAWS [J].