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Asymptotic stability of the rarefaction wave for the generalized KdV–Burgers–Kuramoto equation
- Source :
-
Nonlinear Analysis . Jan2008, Vol. 68 Issue 2, p402-411. 10p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we will study the Cauchy problem for the generalized KdV–Burgers–Kuramoto equation, which represents a dissipative, stroboscopic and unstable system in physics. When the initial data is a small disturbance of a rarefaction wave of the inviscid Burgers equation, we prove the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of the rarefaction wave. The analysis is based on a priori estimates and the -energy method. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 68
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 27353665
- Full Text :
- https://doi.org/10.1016/j.na.2006.11.006