| 一类蜕化Kuramoto-Sivashinsky方程的整体吸引子 |
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| 引用本文： | 杨干山,戴正德. 一类蜕化Kuramoto-Sivashinsky方程的整体吸引子[J]. 数学研究, 1996, 29(1): 52-62 |
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| 作者姓名： | 杨干山 戴正德 |
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| 作者单位： | 云南民族学院数学系，云南大学数学 |
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| 摘 要： | 本文讨论一类蜕化Ｋｕｒａｍｏｔｏ－Ｓｉｖａｓｈｉｎｓｋｙ方程整体解的存在性、唯一性，整体吸引子的存在性，表明当高阶项系数满足一定条件时，可控制因蜕化而导致解光滑效应的改变．
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| 关 键 词： | 蜕化的K－S方程，吸收集，整体吸引子，分形维度，Hausdorff维度 |
THE GLOBAL ATTRACTOR OF A TYPE OF DEGENERATE KURAMOTO-SIVASHINSKY EOUATION |
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| Yang Ganshan. THE GLOBAL ATTRACTOR OF A TYPE OF DEGENERATE KURAMOTO-SIVASHINSKY EOUATION[J]. Journal of Mathematical Study, 1996, 29(1): 52-62 |
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| Authors: | Yang Ganshan |
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| Abstract: | The purpose of the paper is to obtain the existence of the solution and the global attractor of a type of degenerate Kuramoto-Sivashinsky equation. results shows that,When the diffusion coefficient be satisfied some suitable assumptions,teh changing of smooth behavior of the solution from the degerating win be controlled. |
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| Keywords: | Degenerate K-S equation Absorbing sets Global attractor Fracas dimension Hausdorff dimension |
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