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On a three-dimensional free boundary problem in superconductivity involving mean curvature

Published online by Cambridge University Press:  11 July 2007

Fahuai Yi
Fahuai Yi
Affiliation:
Department of Mathematics, South China Normal University, Guangzhou 510631, People's Republic of China ([email protected])
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Abstract

A parabolic system with an unknown boundary is considered. The boundary condition at the unknown boundary is concerned with its mean curvature. The physical prototype is superconductivity of type I. Existence of classical solutions is proved by the use of fixed-point theorem, uniqueness is obtained as well.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 1 , February 2001 , pp. 205 - 224
Copyright
Copyright © Royal Society of Edinburgh 2001

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