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

doi:10.1016/S0252-9602(09)60098-9

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

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

刘长春, 周娟, 尹景学

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/Abstract

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:

Key words: Cahn Hilliard equation, existence, blow up

中图分类号:

35B65

刘长春, 周娟, 尹景学. A NOTE ON LARGE TIME BEHAVIOUR OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION[J]. 数学物理学报(英文版), 2009, 29(5): 1216-1224.

LIU Chang-Chun, ZHOU Juan, YIN Jing-Xue. A NOTE ON LARGE TIME BEHAVIOUR OF SOLUTIONS FOR VISCOUS CAHN-HILLIARD EQUATION[J]. Acta mathematica scientia,Series B, 2009, 29(5): 1216-1224.

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

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

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