Global attractors for phase-lock equations in superconductivity

Mei-Qin Zhan

doi:10.3934/dcdsb.2002.2.243

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2002, Volume 2, Issue 2: 243-256. Doi: 10.3934/dcdsb.2002.2.243

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Global attractors for phase-lock equations in superconductivity

Mei-Qin Zhan^1,

1.
Department of Mathematics & Statistics, University of North Florida, Jacksonville, FL 32224

Received: April 2001

Revised: October 2001

Published: May 2002

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Abstract

In previous article [18], we introduced a system of equations to model the superconductivity phenomena. We investigated its connection to Ginzburg-Landau equations and proved the existence and uniqueness of both weak and strong solutions. In this article, we study the dynamic behavior of solutions to the system and prove existence of global attractors and estimate their Hausdorff dimensions.

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Mathematics Subject Classification: 35B05, 35B30, 35B65.

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