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Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity

✍ Scribed by Fan, Jishan; Ozawa, Tohru

Book ID: 113014642
Publisher: Springer
Year: 2011
Tongue: English
Weight: 178 KB
Volume: 63
Category: Article
ISSN: 0044-2275
DOI: 10.1007/s00033-011-0164-x

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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,