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The bifurcation diagrams for the Ginzburg-Landau system for superconductivity

Amandine Aftalion·Qiang Du
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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.

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Amandine Aftalion, Qiang Du. 2001-01-24. The bifurcation diagrams for the Ginzburg-Landau system for superconductivity. https://doi.org/10.1016/s0167-2789(01)00385-2

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