Geodesic
Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices
Charles M. Elliott1 orcid ; Vanessa Styles2
1University of Warwick, Coventry, UK
2University of Sussex, Brighton, UK
Interfaces and free boundaries, Tome 2 (2000) no. 2, pp. 143-180

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DOI

We study a one-dimensional mean field model of superconducting vortices with a finite London penetration depth, flux pinning and nucleation of vorticity at inflow boundary sections. The existence of a unique weak solution is proved and the long time behaviour is studied. A numerical discretization of the model is derived and it is shown that as the time step and the mesh size tend to zero, the discrete solution converges to the unique weak solution of the continuous model. Some numerical computations are presented which illustrate the effects of flux pinning and the finite penetration depth.
DOI : 10.4171/ifb/16
Classification : 46-XX, 60-XX
Mots-clés : Flux pinning; boundary nucleation; mean field model; superconductivity

Charles M. Elliott  1   ; Vanessa Styles  2

1 University of Warwick, Coventry, UK
2 University of Sussex, Brighton, UK 
Charles M. Elliott; Vanessa Styles. Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices. Interfaces and free boundaries, Tome 2 (2000) no. 2, pp. 143-180. doi: 10.4171/ifb/16
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