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Instability of Ginzburg—Landau vortices on manifolds

Published online by Cambridge University Press:  18 March 2013

Ko-Shin Chen
Ko-Shin Chen*
Affiliation:
Department of Mathematics, Indiana University, 831 E. 3rd Street, Bloomington, IN 47405, USA (koshchen@indiana.edu)
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Abstract

We investigate two settings of the Ginzburg—Landau system posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg—Landau energy posed on a simply connected, compact, closed 2-manifold. The second is a vortex annihilation result for the Ginzburg—Landau heat flow posed on certain surfaces of revolution with boundary.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 2 , April 2013 , pp. 337 - 350
Copyright
Copyright © Royal Society of Edinburgh 2013

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