NONLINEAR STABILITY OF PLANAR SHOCK PROFILES FOR THE GENERALIZED KdV-BURGERS EQUATION IN SEVERAL DIMENSIONS 被引量：1

NONLINEAR STABILITY OF PLANAR SHOCK PROFILES FOR THE GENERALIZED KdV-BURGERS EQUATION IN SEVERAL DIMENSIONS

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摘要 This paper is concerned with the nonlinear stability of planar shock profiles to the Cauchy problem of the generalized KdV-Burgers equation in two dimensions. Our analysis is based on the energy method developed by Goodman [5] for the nonlinear stability of scalar viscous shock profiles to scalar viscous conservation laws and some new decay estimates on the planar shock profiles of the generalized KdV-Burgers equation. This paper is concerned with the nonlinear stability of planar shock profiles to the Cauchy problem of the generalized KdV-Burgers equation in two dimensions. Our analysis is based on the energy method developed by Goodman [5] for the nonlinear stability of scalar viscous shock profiles to scalar viscous conservation laws and some new decay estimates on the planar shock profiles of the generalized KdV-Burgers equation.

作者陈正争肖清华

机构地区 School of Mathematical Sciences School of Mathematics and Statistics

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1531-1550,共20页 数学物理学报（B辑英文版）

关键词 generalized KdV-Burgers equation shock profiles nonlinear stability L^2 energy estimate generalized KdV-Burgers equation shock profiles nonlinear stability L^2 energy estimate

分类号 O175.13 [理学—数学]

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参考文献1

1王治安,朱长江.STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION[J].Acta Mathematica Scientia,2002,22(3):319-328. 被引量：12

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