Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation
Analysis of PDEs
2010-03-01 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1002.4989,
title = {Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation},
author = {B. Ferrario},
journal= {arXiv preprint arXiv:1002.4989},
year = {2010}
}
Comments
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