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

作者：Xiao, Qinghua; Zhao, Huijiang^*

来源：Journal of Mathematical Analysis and Applications, 2013, 406(1): 165-187.

DOI：10.1016/j.jmaa.2013.04.054

• Generalized Benjamin-Bona-Mahony-Burgers equations
• Planar viscous shock profiles
• Nonlinear stability
• Continuation argument

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.

• 出版日期2013-10-1
• 单位武汉大学