%0 Journal Article
%T Instability of Ginzburg-Landau Vortices on Manifolds
%A Ko-Shin Chen
%J Mathematics
%D 2011
%I arXiv
%R 10.1017/S0308210511000795
%X 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.
%U http://arxiv.org/abs/1108.1949v1