As in Part I, we study local minimizers of the Ginzburg-Landau energy (depending on κ → +∞) for superconductors in a prescribed magnetic field hex. For disc domains, we find and describe stable solutions of the associated equations and show how vortices appear as hex is raised from the first critical field Hc1. We also study the asymptotic limit κ → ∞ for hex = Hc1 and prove that the limiting magnetic field in the superconductor satisfies the London equation.
ASJC Scopus subject areas
- Applied Mathematics