| 弱阻尼KdV方程的近似惯性流形 |
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| 引用本文： | 代正德,王琦,屈超纯.弱阻尼KdV方程的近似惯性流形[J].数学研究,1995,28(4):9-18. |
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| 作者姓名： | 代正德 王琦 屈超纯 |
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| 作者单位： | [1]云南大学数学系，昆明650091 [2]昆明师专数学系，昆明650031 |
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| 摘 要： | 本文给出了弱阻尼KdV方程近似惯性流形族的一个构造方法，得到的近似惯性流形是一个弱Lipschitz连续的流形，它对吸引子的指数渐近速度比平坦惯性流形相应的速率要高。
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| 关 键 词： | 弱阻尼KdV方程 近似惯性流形 吸引子 弱Lipschitz连续流形 |
Approximate Inertial Manifolds for the Weakly Demped KdV Equations |
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| Dai Zhengde,Wang Qi,Qu Chaochun.Approximate Inertial Manifolds for the Weakly Demped KdV Equations[J].Journal of Mathematical Study,1995,28(4):9-18. |
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| Authors: | Dai Zhengde Wang Qi Qu Chaochun |
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| Abstract: | The existence and structure of inertial manifolds for eakly dissipative evolutionary equations are still not known. In this paper we give a way to construct a family of approximate inertial manifolds for weakly damped KdV equations. Approximate inerital manifolds we got are weakly Lipschitz contiuous , and approximate the attractor rapily. |
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| Keywords: | Approximete Inertial Manifolds KdV Equation |
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