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Analysis of a mean field model of superconducting vortices

journal contribution
posted on 2023-06-08, 09:42 authored by R Schätzle, Vanessa StylesVanessa Styles
We study a mean-held model of superconducting vortices in one and two dimensions. The existence of a weak solution and a steady-state solution of the model are proved. A special case of the steady-state problem is shown to be of the form of a free boundary problem. The solutions of this free boundary problem are investigated. It is also shown that the weak solution of the one-dimensional model is unique and satisfies an entropy inequality.

History

Publication status

  • Published

Journal

European Journal of Applied Mathematics

ISSN

0956-7925

Publisher

European Journal of Applied Mathematics

Issue

4

Volume

10

Page range

319-352

ISBN

0956-7925

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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