The Ginzburg-Landau Functional with Vanishing Magnetic Field

We would like to draw the attention of the reader that in the scalar case considered here the exact form of the optimal profile plays a central role in the analysis. We will

The ground state energy of the two dimensional Ginzburg–Landau functional with variable magnetic field..

The aim of this final section is to use the structure of the minimizers of the limiting functional F 0,g given by Theorem 4.3 to prove that minimizers of F ε,g 0 have the same

The proof of our result is obtained by the combination of two main ideas: the coupling and the Foias-Prodi estimate. The first subsection is a simple example devoted to understand

There is a convenient variational setting for the periodic Ginzburg–Landau equations, we may refer to [20,13] for a mathematically oriented presentation of this setting, the

We consider a spherical superconductor in a uniform external field, and study vortices which appear near the lower critical field, the smallest value of the external field strength

tude fluctuations are quenched in the lowest order calculation.. This determines the critical behaviour around Tc = 0, provided that the coefficients

We introduce a “Coulombian renormalized energy” W which is a logarithmic type of interaction between points in the plane, computed by a “renormalization.” We prove various of