In this note, we present a Γ-convergence type result for ferromagnetic films. We propose a model of films for which we could ensure the strong convergence of minimizers when the exchange parameter vanishes. In this model, the plate thickness is kept constant and the magnetization stays constant in the thickness of the film.

We consider the Gamma limit of the Abelian Chern-SimonsHiggs energy

The thermodynamic activities of Ti, Al, and O in the α-Ti(O), α2-Ti3Al(O), γ-TiAl(O) phases were measured via Knudsen effusion mass spectrometry (KEMS). Measurements taken at KEMS facility Forschungszentrum Jülich, Germany NASA Glenn Research Center Ohio, USA. Differences between measurements two facilities are primarily due to selection proper ionization cross sections. Ti Al compared a recent...

We study the asymptotic behaviour in terms of Γ-convergence of the following one dimensional energy