Maximum principle and comparison theorem for quasi-linear stochastic PDE's.
Measure attractors for stochastic Navier-Stokes equations.
Multiscale Finite Element approach for “weakly” random problems and related issues
We address multiscale elliptic problems with random coefficients that are a perturbation of multiscale deterministic problems. Our approach consists in taking benefit of the perturbative context to suitably modify the classical Finite Element basis into a deterministic multiscale Finite Element basis. The latter essentially shares the same approximation properties as a multiscale Finite Element basis directly generated on the random problem. The specific reference method that we use is the Multiscale...