The bifurcation diagrams for the Ginzburg-Landau system for superconductivity
arXiv:cond-mat/0101370 · doi:10.1016/S0167-2789(01)00385-2
Abstract
In this paper, we provide the different types of bifurcation diagrams for a superconducting cylinder placed in a magnetic field along the direction of the axis of the cylinder. The computation is based on the numerical solutions of the Ginzburg-Landau model by the finite element method. The response of the material depends on the values of the exterior field, the Ginzburg-Landau parameter and the size of the domain. The solution branches in the different regions of the bifurcation diagrams are analyzed and open mathematical problems are mentioned.
16 pages