Classical solutions to the time-dependent Ginzburg-Landau equations for a bounded superconducting vacuum

The initial value problem for the time dependent Ginzburg-Landau equations used to model the electrodynamics of a superconducting body surrounded by a vacuum in real set3 is studied. We prove existence, uniqueness, and regularity results for solutions in the Coulomb, Lorentz, and temporal gauges. [P...

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Bibliographic Details
Published in:Journal of mathematical physics 2005-09, Vol.46 (9), p.1
Main Authors: Bauman, Patricia, Jadallah, Hala, Phillips, Daniel
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematical models
Superconductors
Online Access:Get full text
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Summary:The initial value problem for the time dependent Ginzburg-Landau equations used to model the electrodynamics of a superconducting body surrounded by a vacuum in real set3 is studied. We prove existence, uniqueness, and regularity results for solutions in the Coulomb, Lorentz, and temporal gauges. [PUBLICATION ABSTRACT]
ISSN:0022-2488
1089-7658