Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (S1): 94-104.

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APPROXIMATE INERTIAL MANIFOLDS UNDER NONSELFADJOINT

Tian Lixin1, Xu Zheuyuau2, Lu Diauchen1   

  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
  • 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

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

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