| Kuramoto-Sivashinsky方程解的定性分析 |
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| 引用本文： | 江成顺,顾海明.Kuramoto-Sivashinsky方程解的定性分析[J].应用数学和力学,1999,20(11):1161-1167. |
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| 作者姓名： | 江成顺 顾海明 |
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| 作者单位： | 1.信息工程大学应用数学系, 郑州450002; |
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| 基金项目： | 国家自然科学基金；中国博士后科学基金 |
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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 |
| 收稿时间： | 1998-03-27 |
Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation |
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| Jiang Chengshun,Gu Haiming.Qualitative Analysis for the Solution of Kuramoto-Sivashinsky Equation[J].Applied Mathematics and Mechanics,1999,20(11):1161-1167. |
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| Authors: | Jiang Chengshun Gu Haiming |
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| 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 |
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| 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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| Keywords: | Kuramoto_Sivashinsky equation initial boundary value problems generalized global solution classical global solution asymptotic behavior |
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