Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations

F. Ting; J. Wei

doi:10.1007/s00220-012-1612-y

Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations

F. Ting, J. Wei

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	69-97
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	317
Issue number	1
DOIs	https://doi.org/10.1007/s00220-012-1612-y
Publication status	Published - Jan 2013
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-012-1612-y

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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.",

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AB - 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.

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DO - 10.1007/s00220-012-1612-y

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JO - Communications in Mathematical Physics

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Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations

Abstract

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