6 papers
Numerical approach to the London Equation of superconductivity
Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román
In this work, we propose a general discretization strategy for solving the London equation for type-II superconductors in the whole space . To compute the magnetic fi…
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…
Novel reaction-diffusion PDE model for fingerprint-like pattern emergence via the Schnakenberg mechanism
Fabián Sepúlveda-Soto, Lucia Soto-Barrios, Carlos Román +1
Fingerprint analysis and fingerprint identification have been the most widely used tools for human identification. To this day, various models have been proposed to explain how fin…
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 …
First Critical Field in the pinned three-dimensional Ginzburg--Landau Model: A matching upper bound
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…
First critical field in the pinned three dimensional Ginzburg-Landau model of superconductivity
Matías Díaz-Vera, Carlos Román
We study extreme type-II superconductors described by the three dimensional magnetic Ginzburg-Landau functional incorporating a pinning term , which we assume to…