Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon

Abstract

AbstractThe existence of countably many distinct symmetric vortices for the nonlinear Ginzberg-Landau equations of superconductivity with an arbitrary positive parameter λ is proven. We then prove the existence of a linearization phenomenon as the parameter λ → ∞. In this case the linearized equations contain an appropriate Dirac delta function. These equations are known as the London equations