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Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H1

✍ Scribed by Baoxiang Wang

Book ID
111784665
Publisher
SP Science China Press
Year
2003
Tongue
English
Weight
206 KB
Volume
46
Category
Article
ISSN
1674-7283

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Uniqueness of weak solutions in critical
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✍ Jishan Fan; Hongjun Gao 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 1 views

## 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,