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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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  • Shuichi Jimbo & Jian Zhai, 2000. "Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect," Abstract and Applied Analysis, Hindawi, vol. 5, pages 1-12, January.
    • Handle: RePEc:hin:jnlaaa:519384
    DOI: 10.1155/S1085337500000233
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