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Existence of Classical Solutions of the Time-Dependent Ginzburg-Landau Equations for a Bounded Superconducting Domain in a Vacuum

Friday, October 29, 2004 - 11:00am - 11:50am
EE/CS 3-180
Joint work with Patricia Bauman and Hala Jadallah.

The initial value problem for the Ginzburg--Landau equations modeling currents in a three--dimensional body surrounded by a vacuum is a mixed, elliptic--parabolic system. We prove existence, uniqueness, and regularity results near the body's surface for solutions. Moreover we compare solutions from different gauges.