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。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第11期1161-1167,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金
中国博士后科学基金
关键词
初边值问题
广义解
古典解
K-S方程
解
定性分析
Kuramoto_Sivashinsky equation
initial boundary value problems
generalized global solution
classical global solution,
asymptotic behavior
