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Derivation of lower critical magnetic field for anisotropic Ginzburg-Landau model in superconductivity

✍ Scribed by Yan Lei Kou; Shi Jin Ding

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2011
Tongue: English
Weight: 350 KB
Volume: 27
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-011-8206-z

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## Abstract We prove the uniqueness of weak solutions of the 3‐D time‐dependent Ginzburg‐Landau equations for super‐conductivity with initial data (__ψ__~0~, __A__~0~)∈ __L__^2^ under the hypothesis that (__ψ__, __A__) ∈ __L__^__s__^(0, __T__; __L__^__r__,∞^) ×$ L^{\bar s} $(0, __T__;$ L^{\bar r,