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Domain perturbation method and local minimizers to Ginzburg‐Landau functional with magnetic effect

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  • Shuichi Jimbo
  • Jian Zhai

Abstract

We prove the existence of vortex local minimizers to Ginzburg‐Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.

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Handle: RePEc:wly:jnlaaa:v:5:y:2000:i:2:p:101-112
DOI: 10.1155/S1085337500000233
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