Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T10:56:48.134Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)