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

• 论文 • 上一篇    下一篇

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

田立新1, 刘玉荣2, 刘曾荣3   

  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
  • 收稿日期:1999-07-05 修回日期:2000-05-10 出版日期:2000-10-18 发布日期:2000-10-18
  • 基金资助:
    the National Natural Science Foundation of China(19601020);the Youth Science and Technology Foundation of Jiangsu Province(BQ98023);the Jingsu Province Blue-Green Foundation

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

摘要: 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.

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

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

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