3 papers
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…
q-bio.QM2025
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…
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 …