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July  1998, 4(3): 507-522. doi: 10.3934/dcds.1998.4.507

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, United States

Received  January 1997 Published  April 1998

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: Gevrey class regularity, superconductivity, global strong solutions, Time-dependent Ginzburg-Landau equations, time-analyticity..
Mathematics Subject Classification: 35K57, 35B40, 35L7.
Citation: Bixiang Wang, Shouhong Wang. Gevrey class regularity for the solutions of the Ginzburg-Landau equations of superconductivity. Discrete & Continuous Dynamical Systems, 1998, 4 (3) : 507-522. doi: 10.3934/dcds.1998.4.507
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