Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-25T22:24:15.050Z Has data issue: false hasContentIssue false

Analysis of a mean field model of superconducting vortices

Published online by Cambridge University Press:  01 August 1999

R. SCHÄTZLE
Affiliation:
Mathematisches Institut der Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, D-79104 Freiburg, Germany (e-mail: [email protected])
V. STYLES
Affiliation:
Centre for Mathematical Analysis and its Applications, University of Sussex, Falmer, Brighton BN1 9QH, UK (e-mail: [email protected])

Abstract

We study a mean-field 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.

Type
Research Article
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)