Instability of Ginzburg-Landau Vortices on Manifolds

Details Instability of Ginzburg-Landau Vortices on Manifolds Instability of Ginzburg-Landau Vortices on Manifolds

2011-08-09

arxiv.org/abs/1108.1949v1

Mathematics

Analysis of PDEs

Scientific paper

We investigate two settings of Ginzburg-Landau 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.

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