Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Xiao, Qinghua¹  Zhao, Huijiang¹ 

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

关键词: Generalized Benjamin-Bona-Mahony-Burgers equations;    Planar viscous shock profiles;    Nonlinear stability;    Continuation argument;   

DOI  :  10.1016/j.jmaa.2013.04.054

来源: Elsevier

【 摘 要 】

This paper is concerned with nonlinear stability of planar viscous shock profiles of the generalized Benjamin-Bona-Mahony-Burgers equations in two dimensions. Our analysis is motivated by J. Goodman's work (1989) [4] on the nonlinear stability of scalar viscous shock profiles in two dimensions and is based on some new decay estimates on the planar viscous shock profiles of the generalized Benjamin-Bona-Mahony-Burgers equations. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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