Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations

Fridolin Sze Thou TING; J. WEI

doi:10.1007/s00220-012-1612-y

Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations

Fridolin Sze Thou TING
, J. WEI

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Abstract

We show that there exists multi-vortex, non-radial, finite energy solutions to the magnetic Ginzburg-Landau equations on all of ℝ². We use Lyapunov-Schmidt reduction to construct solutions which are invariant under rotations by 2π/k (but not by rotations in O(2) in general) and reflections in the x- axis for some k ≥ 7. Copyright © 2012 Springer-Verlag Berlin Heidelberg.

Original language	English
Pages (from-to)	69-97
Journal	Communications in Mathematical Physics
Volume	317
Early online date	Nov 2012
DOIs	https://doi.org/10.1007/s00220-012-1612-y
Publication status	Published - Jan 2013

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Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations

Abstract

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