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Space-Time Invariant Measures, Entropy, and Dimension for Stochastic Ginzburg–Landau Equations

✍ Scribed by Jacques Rougemont

Publisher: Springer
Year: 2002
Tongue: English
Weight: 198 KB
Volume: 225
Category: Article
ISSN: 0010-3616
DOI: 10.1007/s002200100586

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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,