Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1111-1118.

• 论文 • 上一篇    下一篇

THE RESEARCH OF BLOW-UP IN 2D WEAKLY DAMPED FORCED KdV EQUATION ON THIN DOMAIN

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:1999-06-25 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);Jiangsu Blue-Green Foundation

THE RESEARCH OF BLOW-UP IN 2D WEAKLY DAMPED FORCED KdV EQUATION ON THIN DOMAIN

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:1999-06-25 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);Jiangsu Blue-Green Foundation

摘要: The time estimate of the blow-up of the weakly damped forced KdV equation in thin 2D domains is given.

关键词: weakly damped forced, nonlinear solitary equation, thin domains, higher-dimensional dynamical system

Abstract: The time estimate of the blow-up of the weakly damped forced KdV equation in thin 2D domains is given.

Key words: weakly damped forced, nonlinear solitary equation, thin domains, higher-dimensional dynamical system

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