The Mathematical Institute, University of Oxford, Eprints Archive

Macroscopic models for superconductivity

Chapman, S. J. and Howison, S. D. and Ockendon, J. R. (1992) Macroscopic models for superconductivity. SIAM Review, 34 (4). pp. 529-560. ISSN 0036-1445

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Abstract

This paper reviews the derivation of some macroscopic models for superconductivity and also some of the mathematical challenges posed by these models. The paper begins by exploring certain analogies between phase changes in superconductors and those in solidification and melting. However, it is soon found that there are severe limitations on the range of validity of these analogies and outside this range many interesting open questions can be posed about the solutions to the macroscopic models.

Item Type:Article
Uncontrolled Keywords:superconductivity; Ginzburg-Landau equations
Subjects:O - Z > Partial differential equations
O - Z > Optics, electromagnetic theory
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:610
Deposited By:Jon Chapman
Deposited On:24 May 2007
Last Modified:20 Jul 2009 14:22

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