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16 October 2005 Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity
Fouzi Zaouch
Abstr. Appl. Anal. 2005(8): 863-887 (16 October 2005). DOI: 10.1155/AAA.2005.863

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.

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Fouzi Zaouch. "Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity." Abstr. Appl. Anal. 2005 (8) 863 - 887, 16 October 2005. https://doi.org/10.1155/AAA.2005.863

Information

Published: 16 October 2005
First available in Project Euclid: 22 December 2005

zbMATH: 1099.35137
MathSciNet: MR2201921
Digital Object Identifier: 10.1155/AAA.2005.863

Rights: Copyright © 2005 Hindawi

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Vol.2005 • No. 8 • 16 October 2005
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