Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation

Abstract

We analyse the well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation; this is the Navier-Stokes equation in which the Laplace operator is replaced by its a-power for a>1. We prove existence and uniqueness for this equation assuming a>= 5/4.

11 pages; this is a more extended version of what will appear in the Proceedings of the conference "Stochastic partial differential equations and applications VIII", Levico 2008