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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 9
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Original Articles

Weak solutions to the Ginzburg-Landau model in superconductivity with the temporal gauge

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Pages 2029-2038 | Received 30 Mar 2015, Accepted 14 Aug 2015, Published online: 11 Sep 2015
 

Abstract

We first prove the uniqueness of weak solutions to the 3-D Ginzburg-Landau system in superconductivity with the temporal gauge if , which is a critical space for some positive constant . We also prove the global existence of solutions for the Ginzburg-Landau system with magnetic diffusivity or . Finally, we prove the uniform bounds with respect to of strong solutions in space dimensions . Consequently, the existence of the limit as can be established.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

J. Fan is partially supported by NSFC [grant number 11171154].

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