4 papers
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…
Non-local singular perturbations of non-convex functionals -- recent results
Andrea Braides
Singular perturbations have been used to select solutions of (non-convex) variational problems with a multiplicity of minimizers. The prototype of such an approach is the gradient…
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…
Elastic bodies with kinematic constraints on many small regions
Andrea Braides, Giovanni Noselli, Simone Vincini
We study the equilibrium of hyperelastic solids subjected to kinematic constraints on many small regions, which we call perforations. Such constraints on the displacement are g…