Existence and uniform boundedness of strong solutions of
the time-dependent Ginzburg-Landau equations of superconductivity
Fouzi Zaouch1
Received15 Apr 2004
Abstract
The time-dependent Ginzburg-Landau equations of superconductivity
with a time-dependent magnetic field H are discussed. We prove existence and uniqueness of weak and strong
solutions with H1-initial data. The result is obtained under
the “φ=−ω(∇⋅A)” gauge with ω>0.
These solutions generate a dynamical process and are uniformly
bounded in time.