Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1131-1138.

• Articles • Previous Articles     Next Articles

LOCAL ATTRACTORS FOR WEAKLY DAMPED FORCED KdV EQUATION IN THIN 2D DOMAINS

TIAN Li-xin1, LIU Yu-rong2, LIU Zeng-rong3   

  1. 1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
    2. Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;
    3. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China
  • Received:1999-07-05 Revised:2000-05-10 Online:2000-10-18 Published:2000-10-18
  • Supported by:
    the National Natural Science Foundation of China(19601020);the Youth Science and Technology Foundation of Jiangsu Province(BQ98023);the Jingsu Province Blue-Green Foundation

Abstract: The existence of local attractors in thin 2D domains for the weakly damped forced KdV equation, whose principal operator is a non-self adjoint and non-sectorial one is given.

Key words: attractor, weakly damped forced, nonlinear solitary wave equation, thin domains, non-adjoint operator

2010 MSC Number: 

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