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boundary element method 1finite element method 1isoflux problem 1london equation 1superconductivity 1vortex nucleation 1

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math.AP2025

Phase transition thresholds and chiral magnetic fields of general degree

Slim Ibrahim, Tatsuya Miura, Carlos Román +1

We study a variational problem for the Landau--Lifshitz energy with Dzyaloshinskii--Moriya interactions arising in 2D micromagnetics, focusing on the Bogomol'nyi regime. We first d…

math.AP2025

First Critical Field in the pinned three-dimensional Ginzburg--Landau Model: A matching upper bound

Carlos Román, Carlos Román

We continue our study of the first critical field for extreme type-II superconductors governed by the three-dimensional magnetic Ginzburg--Landau functional with a pinnin…

math.AP2025

Vortex lines interaction in the three-dimensional magnetic Ginzburg--Landau model

Carlos Román, Etienne Sandier, Sylvia Serfaty

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter …

math.AP2025

First critical field in the pinned three dimensional Ginzburg-Landau model of superconductivity

Matías Díaz-Vera, Matías Díaz-Vera, Carlos Román +1

We study extreme type-II superconductors described by the three dimensional magnetic Ginzburg-Landau functional incorporating a pinning term , which we assume to…