7 papers · 1 filter
-convergence and stochastic homogenization for functionals in the -free setting
Gianni Dal Maso, Rita Ferreira, Irene Fonseca
We obtain a compactness result for -convergence of integral functionals defined on -free vector fields. This is used to study homogenization problems for these fun…
-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation
Gianni Dal Maso, Davide Donati
We study the -convergence of sequences of free discontinuity functionals with linear growth defined in the space of functions with bounded deformation. We prove a co…
Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks
Federico Cianci, Gianni Dal Maso
We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of t…
Motion of Islands of Elastic Thin Films in the Dewetting Regime
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovit…
A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations
Andrea Braides, Gianni Dal Maso, Claude Le Bris
We investigate the stability with respect to homogenization of classes of integrals arising in the control-theoretic interpretation of some Hamilton-Jacobi equations. The prototypi…
A closure theorem for -convergence and H-convergence with applications to non-periodic homogenization
Andrea Braides, Gianni Dal Maso, Claude Le Bris
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energ…