Γ-convergence

This paper aims at building a variational approach to the dynamics of discrete topological singularities in two dimensions, based… Expand

We discuss the Γ-convergence, under the appropriate scaling, of the energy functional ‖u‖Hs(Ω)2+∫ΩW(u)dx, with s∈(0,1), where… Expand

The quasi-static rate-independent evolution of the Prager-Ziegler-type model of plasticity with hardening is shown to converge to… Expand

The aim of this article is to show that the Monge-Kantorovich problem is the limit of a sequence of entropy minimization problems… Expand

Abstract This paper presents a modified regularized formulation of the Ambrosio–Tortorelli type to introduce the crack non… Expand

1 Introduction 2 Going variational 2.1 Griffith's theory 2.2 The 1-homogeneous case - A variational equivalence 2.3 Smoothness… Expand

We study, by means of Γ-convergence, the asymptotic behavior of a variational problem modeling a dislocation ensemble moving on a… Expand

 

This paper is an extended version of the lecture delivered at the Summer School on Differential Equations and Calculus of… Expand

1. The direct method in the calculus of variations.- 2. Minimum problems for integral functionals.- 3. Relaxation.- 4… Expand