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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
Abstract
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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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