226 citations · 231 across the 3 of their papers we have counts for
3 papers · 1 filter
On the Poisson equation and diffusion approximation 3
E. Pardoux, A. Yu. Veretennikov
We study the Poisson equation Lu+f=0 in R^d, where L is the infinitesimal generator of a diffusion process. In this paper, we allow the second-order part of the generator L to be d…
Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation
Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux
The objective of this note is to present the results from the two recent papers. We study the Navier--Stokes equation on the two--dimensional torus when forced by a finite dimensio…
Malliavin Calculus for the Stochastic 2D Navier Stokes Equation
Jonathan C. Mattingly, Etienne Pardoux
We consider the incompressible, two dimensional Navier Stokes equation with periodic boundary conditions under the effect of an additive, white in time, stochastic forcing. Under m…