Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges

Abstract

We propose new gauge conditions for the time-dependent GinzburgLandau model in superconductivity. The global existence of unique strong solutions is proved for the initial boundary problem for the timedependent Ginzburg-Landau equations in three space dimensions under new gauge conditions. Mathematics Subject Classifications: 35A05, 35A40, 35K55, 82D55