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具周期性Cahn-Hilliard型方程的若干结果

李颖花, 金春花, 黄 锐   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2008-10-20 修回日期:1900-01-01 出版日期:2009-03-26 发布日期:2009-03-26
  • 通讯作者: 黄 锐

Some Results on Periodic Cahn-Hilliard Type Equations

LI Yinghua, JIN Chunhua, HUANG Rui   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-10-20 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26
  • Contact: HUANG Rui

摘要: 给出具周期性的CahnHilliard型方程的若干结果, 包括初边值问题解的渐近估计、 周期解的吸引性以及初边值问题的解和周期解当黏性系数趋于零时的渐近性态.

关键词: CahnHilliard型方程, 渐近估计, 吸引性, 渐近性态

Abstract: This letter covers some results about periodic CahnHilliard type of equations, which include the asymptotic estimates of the solutions to the initial boundary value problems, the attractability of time periodic solutions and the asymptotic behavior of the solutions as the viscosity coefficient tends to zero.

Key words: CahnHilliard equation, asymptotic estimates, attrac tability, asymptotic behavior

中图分类号: 

  • O175.8