Title of article
Nonlinear stability of generalized Benjamin–Bona–Mahony–Burgers shock profiles in several dimensions
Author/Authors
Xiao، نويسنده , , Qinghua and Zhao، نويسنده , , Huijiang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
23
From page
165
To page
187
Abstract
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.
Keywords
Generalized Benjamin–Bona–Mahony–Burgers equations , Planar viscous shock profiles , Nonlinear stability , Continuation argument
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563772
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