Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation
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摘要: 研究Kuramoto-Sivashinsky方程的两种初边值问题,运用Galerkin方法给出一系列先验估计结果,得到广义解和古典解的存在唯一性、正则性及某些条件下的渐近性质。
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关键词:
- Kuramoto-Sivashinsky方程 /
- 初边值间题 /
- 广义解 /
- 古典解 /
- 渐近性质
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. -
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