2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136381We consider here the problem of extrema for the Kac functional with long range, ferromagnetic interaction, and vorticity conditions at infinity which make it not weakly closed. Using a gradient-flow dynamics, we investigate local minima, showing strong analogies with the Ginzburg-Landau functional in infinite volume.48pagesMathematical Physicstext