数学物理学报 ›› 2000, Vol. 20 ›› Issue (3): 289-295.

• 论文 •    下一篇

耗散KDV型方程Cauchy问题的整体吸引子

  

  1. (中国工程物理研究院北京研究生部 北京 100088)
    (绵阳师范专科学校 绵阳 621000)
    (云南大学数学系 昆明 650091)
     
  • 出版日期:2000-05-12 发布日期:2000-05-12

Attractor for Cauchy Problem of Dissiptive KDV type Equation

  1. (Graduate School, China Academy of Engineering Physics, Beijing 100088)(Department of Mathematics, Mianyang Normal College, Mianyang, Sichun 621000)(Department of Mathematics, Yunnan University, Kuming, Yuannan 650091)
  • Online:2000-05-12 Published:2000-05-12

摘要:

该文对耗散KDV型方程的动力学行为进行了讨论,得到了该方程在 H2(R1)上存在整体吸引子.

关键词: 整体吸引子, 吸收集, 算子分解

Abstract:

 In this paper,we consider the dynsmics of Cauchy problem of KDV type equation and obtain the existence of the global attractor in H2(R1).

Key words: Globalattractor, Absorbingset, Decompositionofoperator, Dissipativeequation

中图分类号: 

  • 35Q55,35Q53,58F39