Shuichi Jimbo, Jian Zhai, "Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect", Abstract and Applied Analysis, vol. 5, Article ID 519384, 12 pages, 2000. https://doi.org/10.1155/S1085337500000233
Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect
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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