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June  2008, 1(2): 273-281. doi: 10.3934/dcdss.2008.1.273

Invariant regions and global existence for a phase field model

A. Jiménez-Casas 1,

1. 

Grupo Dinámica No Lineal(ICAI), Universidad Pontificia Comillas, C/Alberto Aguilera 23, 28015 Madrid, Spain

Received  September 2006 Revised  September 2007 Published  March 2008

In this paper we prove a global existence result for the solution of a phase-field model with initial data in high order Sobolev spaces using the invariant regions. This improves, in some sense, the result of [9].
Keywords: higher order Sobolev spaces., Phase-field, invariant region.
Mathematics Subject Classification: 35B35, 35B40, 35K, 35.
Citation: A. Jiménez-Casas. Invariant regions and global existence for a phase field model. Discrete and Continuous Dynamical Systems - S, 2008, 1 (2) : 273-281. doi: 10.3934/dcdss.2008.1.273
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