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Dynamics for vortex curves of the Ginzburg-Landau equations

Published online by Cambridge University Press:  17 April 2009

Liu Zuhan
Liu Zuhan
Affiliation:
Department of Mathematics, Normal College, Yangzhou University, Yangzhou 225002, China e-mail: zuhanl@yahoo.com
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Abstract

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We study the asymptotic behaviour of solutions to the evolutionary Ginzburg- Landau equations in three dimensions. We show that the motion of the Ginzburg-Landau vortex curves is the flow by curvature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 187 - 193
Copyright
Copyright © Australian Mathematical Society 2001

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