| 二维Kuramoto—Sivashinsky方程的非平凡分歧解及其稳定性 |
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| 引用本文： | 李常品 杨忠华. 二维Kuramoto—Sivashinsky方程的非平凡分歧解及其稳定性[J]. 应用数学与计算数学学报, 1997, 11(1): 56-64 |
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| 作者姓名： | 李常品 杨忠华 |
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| 作者单位： | 上海大学教学系，上海师范大学数学系 上海 201800，上海 200234 |
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| 基金项目： | 本项目由上海市高等学校科技发展基金资助 |
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| 摘 要： | 这篇文章讨论了二维K-S方程的分歧现象。对于给定的正整数n_0,m_0,a=n_0~2 m_0~2是一个分歧点,在a附近从平凡解分歧出来的非平凡解枝数依赖于不定方程n~2 m~2=a解的个数,本文给出了解的渐近表示,并讨论了它们的稳定性。
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| 关 键 词： | 分歧 渐近表示 稳定性 |
Bifurcation and Stability of Nontrivial Solutions to Two-dimensional Kuramoto Sivashinsky Equation |
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| Li Changpin. Bifurcation and Stability of Nontrivial Solutions to Two-dimensional Kuramoto Sivashinsky Equation[J]. Communication on Applied Mathematics and Computation, 1997, 11(1): 56-64 |
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| Authors: | Li Changpin |
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| Affiliation: | Li ChangpinDepartment of Muthematies .Shanghai University 201800. Yang ZhonghuaDepurtement of Mathematies Shanghai Normal University 200234 |
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| Abstract: | This paper deals with the steady state bifurcation of the K S equation in two space dimensions with periodic boundary value condition and of zero mean. For given positive integer number un, mn a= nn2 mn2, is a bifurcation point. We will give the- asyniptotie expressions of the steady state noutrivial solutions and will discuss the stability of them . |
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| Keywords: | bifurcatrin.asyinptotic expressions stability. |
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