EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (3): 283-291 .

EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM

尚亚东, 郭柏灵

收稿日期:2003-09-22 修回日期:2004-11-27 出版日期:2005-03-18 发布日期:2005-03-18
通讯作者: 尚亚东

EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM

SHANG Ya-dong, GUO Bo-ling

1. School of Mathematics and Information Science, Guangzhou University,
  Guangzhou 510405, P.R.China;
2. Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, P.R.China

Received:2003-09-22 Revised:2004-11-27 Online:2005-03-18 Published:2005-03-18
Contact: SHANG Ya-dong

摘要/Abstract

Abstract: The global fast dynamics for the generalized symmetric regularized long wave equation with damping term is considered. The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractor are proved. The upper bounds of its fractal dimension are also estimated.

Key words: symmetric regularized long wave equation, asymptotic behavior, squeezing property, exponential attractor

中图分类号:

尚亚东;郭柏灵. EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(3): 283-291 .

SHANG Ya-dong;GUO Bo-ling. EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(3): 283-291 .

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EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM

EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM

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