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Qualitative analysis for the solution of Kuramoto-Sivashinsky equation |
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| Authors: | Jiang Chengshun Gu Haiming |
| Institution: | 1. Department of Applied Mathematics, University of Information Engineering, Zhengzhou 450002, P. R. China;2. Department of Mathematics, Shandong University, Jinan 250100, P. R. China |
| 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. |
| Keywords: | Key words: Kuramoto_Sivashinsky equation initial boundary value problems generalized global solution classical global solution asymptotic behavior |
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