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arXiv · 1308.1064

Stability of symmetric vortices for two-component Ginzburg-Landau systems

Stan Alama·Qi Gao
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Abstract

We study Ginzburg-Landau equations for a complex vector order parameter. We consider the Dirichlet problem in the disk in the plane with a symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find that the stability of the degree-one equivariant solution depends on both the Ginzburg-Landau parameter as well as the sign of the interaction term in the energy.

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Stan Alama, Qi Gao. 2013-08-05. Stability of symmetric vortices for two-component Ginzburg-Landau systems. https://arxiv.org/abs/1308.1064

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