1. Gauge invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity
- Author
-
Mauro Fabrizio, Claudio Giorgi, Valeria Berti, Berti V., Fabrizio M., and Giorgi C.
- Subjects
Superconductivity ,Introduction to gauge theory ,Applied Mathematics ,Weak solution ,Observable ,Gauge (firearms) ,MAT/07 Fisica matematica ,Gauge invariance ,Global attractor ,Supersymmetric gauge theory ,Attractor ,gauge-invariance ,global attractor ,Gauge theory ,Representation (mathematics) ,Analysis ,Mathematics ,Mathematical physics - Abstract
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.
- Published
- 2005