数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1216-1224.doi: 10.1016/S0252-9602(09)60098-9

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A NOTE ON LARGE TIME BEHAVIOUR OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION

 刘长春, 周娟, 尹景学   

  1. 1.Department of Mathematics, Jilin University, Changchun, 130012, China
    2.Institute of System Science, Northeastern University, Shenyang 110004, China
  • 收稿日期:2007-07-29 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:

    Supported by NSF of China

A NOTE ON LARGE TIME BEHAVIOUR OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION

 LIU Chang-Chun, ZHOU Juan, YIN Jing-Xue   

  • Received:2007-07-29 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Supported by NSF of China

摘要:

This article is devoted to the discussion of large time behaviour  of solutions for viscous Cahn-Hilliard equation with spatial dimension n ≤ 5. Some results on global existence of weak solutions for small initial value and
 blow-up of solutions for any nontrivial initial value are established.

关键词: Cahn Hilliard equation, existence, blow up

Abstract:

This article is devoted to the discussion of large time behaviour  of solutions for viscous Cahn-Hilliard equation with spatial dimension n ≤ 5. Some results on global existence of weak solutions for small initial value and
 blow-up of solutions for any nontrivial initial value are established.

Key words: Cahn Hilliard equation, existence, blow up

中图分类号: 

  • 35B65