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Analytical proof of space-time chaos in Ginzburg-Landau equations

โœ Scribed by Turaev, Dmitry; Zelik, Sergey


Book ID
115494585
Publisher
American Institute of Mathematical Sciences
Year
2010
Tongue
English
Weight
513 KB
Volume
28
Category
Article
ISSN
1078-0947

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## Abstract We prove the uniqueness of weak solutions of the 3โ€D timeโ€dependent Ginzburgโ€Landau equations for superโ€conductivity with initial data (__ฯˆ__~0~, __A__~0~)โˆˆ __L__^2^ under the hypothesis that (__ฯˆ__, __A__) โˆˆ __L__^__s__^(0, __T__; __L__^__r__,โˆž^) ร—$ L^{\bar s} $(0, __T__;$ L^{\bar r,