Gevrey class regularity for the solutions of the Ginzburg-Landau equations of  superconductivity

Bixiang Wang; Shouhong Wang

doi:10.3934/dcds.1998.4.507

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1998, Volume 4, Issue 3: 507-522. Doi: 10.3934/dcds.1998.4.507

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Gevrey class regularity for the solutions of the Ginzburg-Landau equations of superconductivity

Bixiang Wang^1, and
Shouhong Wang^2,

1.
Department of Applied Mathematics, Tsinghua University, Beijing 100084
2.
Department of Mathematics, Indiana University, Bloomington, IN 47405

Received: December 31, 1996

Published: June 1998

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Abstract

We prove in this article the Gevrey class regularity and time-analyticity of the global (in time) strong solutions obtained by Tang and Wang (1995) for the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity with an applied field.

Keywords:

Time-dependent Ginzburg-Landau equations,
superconductivity,
global strong solutions,
Gevrey class regularity,
time-analyticity.

Mathematics Subject Classification: 35K57, 35B40, 35L70.

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