Stability of symmetric vortices for two-component Ginzburg-Landau systems
Analysis of PDEs
2013-08-06 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1308.1064,
title = {Stability of symmetric vortices for two-component Ginzburg-Landau systems},
author = {Stan Alama and Qi Gao},
journal= {arXiv preprint arXiv:1308.1064},
year = {2013}
}
Comments
26 pages