Gamma-convergence and the Emergence of Vortices for Ginzburg-landau on Thin Shells and Manifolds Andres Contreras and Peter Sternberg

  • ANDRES CONTRERAS AND PETER STERNBERG
  • Published 2009

Abstract

Abstract. We analyze the Ginzburg-Landau energy in the presence of an applied magnetic field when the superconducting sample occupies a thin neighborhood of a bounded, closed manifold in R. We establish Γ-convergence to a reduced Ginzburg-Landau model posed on the manifold in which the magnetic potential is replaced in the limit by the tangential component… (More)

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Cite this paper

@inproceedings{STERNBERG2009GammaconvergenceAT, title={Gamma-convergence and the Emergence of Vortices for Ginzburg-landau on Thin Shells and Manifolds Andres Contreras and Peter Sternberg}, author={ANDRES CONTRERAS AND PETER STERNBERG}, year={2009} }