65 citations · 149 across the 21 of their papers we have counts for
5 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…
Mathematical analysis of a one-dimensional model for an aging fluid
David Benoit, Lingbing He, Claude Le Bris +1
We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids. We prove well-posedness o…
Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems
C. Le Bris, F. Legoll, F. Thomines
We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation…
Elements of mathematical foundations for a numerical approach for weakly random homogenization problems
Arnaud Anantharaman, Claude Le Bris
This work is a follow-up to our previous work "A numerical approach related to defect-type theories for some weakly random problems in homogenization" (preprint available on this a…
A numerical approach related to defect-type theories for some weakly random problems in homogenization
Arnaud Anantharaman, Claude Le Bris
We present in this paper an approach for computing the homogenized behavior of a medium that is a small random perturbation of a periodic reference material. The random perturbatio…