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

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

In this paper, we consider the derivation of the modified Wenzel’s and Cassie’s equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel’s and Cassie’s equations for the apparent contact angles on the rough s...

We investigate, using the framework of Γ-convergence, a phase-field model proposed in [Torabi et al, Proc. R. Soc. A, 2009] for strongly anisotropic systems; in particular, we prove a full Γ-convergence result for an anisotropic Modica-Mortolatype energy.

We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Γ-convergence.

We introduce new definitions of convergence, based on adding stability criteria to Γ-convergence, that are suitable in many cases for studying convergence of local minimizers.