A mean-field model of superconducting vortices-Reference-Cited by-同舟云学术

A mean-field model of superconducting vortices

Published:1996-04 Issue:2 Volume:7 Page:97-111
ISSN:0956-7925
Container-title:European Journal of Applied Mathematics
language:en
Short-container-title:Eur. J. Appl. Math

Author:

Chapman S. J.,Rubinstein J.,Schatzman M.

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference21 articles.

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3. Elliptic Partial Differential Equations of Second Order

4. Existence and Bifurcation Theorems for the Ginzburg‐Landau Equations

5. Vortex dynamics in U(1) Ginzburg-Landau models

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