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Existence of Periodic Solutions for Ginzburg–Landau Equations of Superconductivity

✍ Scribed by Mei-Qin Zhan

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 94 KB
Volume: 249
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6920

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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,