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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1251-1258.

• 论文 • 上一篇    下一篇

QUALITATIVE ANALYSIS FOR THE SOLUTION OF KURAMOTO-SIVASHINSKY EQUATION

江成顺1, 顾海明2   

  1. 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
  • 收稿日期:1998-03-27 修回日期:1999-06-18 出版日期:1999-11-18 发布日期:1999-11-18
  • 基金资助:
    the National Natural Science Foundation of China(19871051);the Post-Doctoral Science Foundation of China(499772161)

QUALITATIVE ANALYSIS FOR THE SOLUTION OF KURAMOTO-SIVASHINSKY EQUATION

Jiang Chengshun1, Gu Haiming2   

  1. 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
  • Received:1998-03-27 Revised:1999-06-18 Online:1999-11-18 Published:1999-11-18
  • Supported by:
    the National Natural Science Foundation of China(19871051);the Post-Doctoral Science Foundation of China(499772161)

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摘要： 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.

关键词: Key words: Kuramoto-Sivashinsky equation, initial boundary value problems, generalized global solution, classical global solution, asymptotic behavior

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.

Key words: Key words: Kuramoto-Sivashinsky equation, initial boundary value problems, generalized global solution, classical global solution, asymptotic behavior

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