Gauge invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:329

Article

Berti, Valeria ; Fabrizio, Mauro ; Giorgi, Claudio

关键词: superconductivity;    Gauge invariance;    global attractor;   

DOI  :  10.1016/j.jmaa.2006.06.031

来源: Elsevier

【 摘 要 】

In this paper we study the gauge invariance of the time-dependent Ginzburg-Landau equations through the introduction of a model which uses observable variables. We observe that the various choices of gauge lead to a different representation of such variables and therefore to a different definition of the weak solution of the problem. With a suitable decomposition of the unknown fields, related to the choice of London gauge, we examine the Ginzburg-Landau equations and deduce some energy estimates which prove the existence of a maximal attractor for the system. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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