APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 94-104.

APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

田立新¹, 徐振源², 卢殿臣¹

1. Dept. of Math. and Phy., Jiangsu Univ. of Sci. and Tech., Zhenjiang 212013, China;
2. Dept. of Math., Wuxi Light INdustryUniv., Wuxi 214036, China

收稿日期:1996-11-25 修回日期:1997-08-22 出版日期:1998-12-31 发布日期:1998-12-31
基金资助:
The research supported by the National Natural Science Foundation of China (No:19601020) and by the Natural Science Foundation of Jiangsu Province

APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

Tian Lixin¹, Xu Zheuyuau², Lu Diauchen¹

1. Dept. of Math. and Phy., Jiangsu Univ. of Sci. and Tech., Zhenjiang 212013, China;
2. Dept. of Math., Wuxi Light INdustryUniv., Wuxi 214036, China

Received:1996-11-25 Revised:1997-08-22 Online:1998-12-31 Published:1998-12-31
Supported by:
The research supported by the National Natural Science Foundation of China (No:19601020) and by the Natural Science Foundation of Jiangsu Province

摘要/Abstract

摘要： This paper sets up the approximate inertias manifold(AIM) in the nouselfadjoint nonlinear evolutionary equation and Ands AIMs which are explitly dafined in the weally damped forced KdV equation (WDF KdV).

关键词: Global attractor, Inertial manifold, Approximate inertial manifold, Nonlinear evolutonary equation

Abstract: This paper sets up the approximate inertias manifold(AIM) in the nouselfadjoint nonlinear evolutionary equation and Ands AIMs which are explitly dafined in the weally damped forced KdV equation (WDF KdV).

Key words: Global attractor, Inertial manifold, Approximate inertial manifold, Nonlinear evolutonary equation

田立新, 徐振源, 卢殿臣. APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT[J]. 数学物理学报(英文版), 1998, 18(S1): 94-104.

Tian Lixin, Xu Zheuyuau, Lu Diauchen. APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT[J]. Acta mathematica scientia,Series B, 1998, 18(S1): 94-104.

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APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

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