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Qualitative analysis for the solution of Kuramoto-Sivashinsky equation
- Source :
- Applied Mathematics and Mechanics. 20:1251-1258
- Publication Year :
- 1999
- Publisher :
- Springer Science and Business Media LLC, 1999.
-
Abstract
- In this paper, two kinds of initial boundary value problems for Kuramoto-Sivashinsky equation are considered. Some prior estimates are derived by Galerkin methods. The existence, uniqueness and regularities of the generalized global solutions and the classical global solutions for the equation are proved. Morever, the asymptotic behavior of these solutions are considered under some conditions.
Details
- ISSN :
- 15732754 and 02534827
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Mechanics
- Accession number :
- edsair.doi...........6ae27375a5574fe7edf2fa8beaef36e6