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A mean-field model of superconducting vortices

Published online by Cambridge University Press:  26 September 2008

S. J. Chapman ,
J. Rubinstein  and
M. Schatzman
S. J. Chapman
Affiliation:
Mathematical Institute, 24–29 St. Giles', Oxford 0X1 3LB, UK
J. Rubinstein
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA
M. Schatzman
Affiliation:
Analyse Numérique, U.R.A. 740 du C.N.R.S., Université Lyon l Claude-Bernard, 69622 Villeurbanne, France
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Abstract

A mean-field model for the motion of rectilinear vortices in the mixed state of a type-II superconductor is formulated. Steady-state solutions for some simple geometries are examined, and a local existence result is proved for an arbitrary smooth geometry. Finally, a variational formulation of the steady-state problem is given which shows the solution to be unique.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 2 , April 1996 , pp. 97 - 111
Copyright
Copyright © Cambridge University Press 1996

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References

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