Analysis of a mean field model of superconducting vortices

Authors
Schatzle, R Styles, V
Citation
R. Schatzle et V. Styles, Analysis of a mean field model of superconducting vortices, EUR J AP MA, 10, 1999, pp. 319-352
Citations number
15
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
ISSN journal
09567925 → ACNP
Volume
10
Year of publication
1999
Part
4
Pages
319 - 352
Database
ISI
SICI code
0956-7925(199908)10:<319:AOAMFM>2.0.ZU;2-6
Abstract
We study a mean-held model of superconducting vortices in one and two dimen sions. 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 boundar y problem are investigated. It is also shown that the weak solution of the one-dimensional model is unique and satisfies an entropy inequality.