Acta mathematica scientia,Series B ›› 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

 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

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

CLC Number: 

  • 35B65
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