315 citations · 337 across the 12 of their papers we have counts for
9 papers · 1 filter
Homogenization of some viscous Hamilton--Jacobi equations using variational arguments on probability spaces
Andrea Braides, Gianni Dal Maso, Claude Le Bris
This work studies the asymptotic behavior of a class of viscous Hamilton--Jacobi equations with oscillatory periodic potentials, already studied by other authors in the PDE framewo…
-Convergence of Free-discontinuity Problems
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
We study the -convergence of sequences of free-discontinuity functionals depending on vector-valued functions which can be discontinuous across hypersurfaces whose shape and…
Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gaglia…
Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
The asymptotic behavior of an anisotropic Cahn-Hilliard functional with prescribed mass and Dirichlet boundary condition is studied when the parameter epsilon that determines the w…
Attainment results for nematic elastomers
V. Agostiniani, G. Dal Maso, A. DeSimone
We consider a class of non-quasiconvex frame indifferent energy densities which includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically lin…
Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
Gianni Dal Maso, Adriana Garroni
In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local min…