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Phase field model with a variable chemical potential

Published online by Cambridge University Press:  12 July 2007

Yoshihiro Tonegawa
Yoshihiro Tonegawa
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan (tonegawa@math.sci.hokudai.ac.jp)
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Abstract

We study some asymptotic behaviour of phase interfaces with variable chemical potential under the uniform energy bound. The problem is motivated by the Cahn-Hilliard equation, where one has a control of the total energy and chemical potential. We show that the limit interface is an integral varifold with generalized Lp mean curvature. The convergence of interfaces as 0 is in the Hausdorff distance sense.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 4 , August 2002 , pp. 993 - 1019
Copyright
Copyright © Royal Society of Edinburgh 2002

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