JournalsifbVol. 2, No. 2pp. 143–180

Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices

  • Charles M. Elliott

    University of Warwick, Coventry, UK
  • Vanessa Styles

    University of Sussex, Brighton, UK
Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices cover
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Abstract

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.

Cite this article

Charles M. Elliott, Vanessa Styles, Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices. Interfaces Free Bound. 2 (2000), no. 2, pp. 143–180

DOI 10.4171/IFB/16