Work

Towards an asymptotic analysis of the anisotropic Ginzburg–Landau model

Year: 2025

Type: article

Abstract: We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg–Landau energy functional among the admissible competitors with Dirichlet boundary datum of negative degree - D . As a byproduct of our analysis, we prove that the energy of a minimizer is K ln ( 1 / ε ) + o ( ln ( 1 / ε ) ) , where K depends only on D and the material constants that enter into the expression for the energy.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1836

Authors: Dmitry Golovaty, Petru Mironescu, Peter Sternberg