| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4663653 | Acta Mathematica Scientia | 2013 | 20 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
