Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (6): 716-721 .

• 论文 • 上一篇    下一篇

LONG TIME BEHAVIOR FOR SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEMS WITH MULTIDIMENSIONAL INHOMOGENEOUS GBBM EQUATIONS

房少梅, 郭柏灵   

  • 收稿日期:2003-11-21 修回日期:2005-01-18 出版日期:2005-06-18 发布日期:2005-06-18
  • 通讯作者: 郭柏灵

LONG TIME BEHAVIOR FOR SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEMS WITH MULTIDIMENSIONAL INHOMOGENEOUS GBBM EQUATIONS

FANG Shao-mei, GUO Bo-ling   

    1. Department of Mathematics, Shaoguan University, Shaoguan 512005,
      Guangdong Province, P.R.China;
    2. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P.R.China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R.China
  • Received:2003-11-21 Revised:2005-01-18 Online:2005-06-18 Published:2005-06-18
  • Contact: GUO Bo-ling

Abstract: The following initial-boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin-Bona-Mahony(GBBM) equations is reviewed. The existence of global attractors of this problem was proved by means of a uniform priori estimate for time.

Key words: multidimensional GBBM equation, a priori estimate, global attractor

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