Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations
Probability
2010-03-25 v1
Abstract
The main purpose of this paper is to show that Markov solutions to the 3D Navier--Stokes equations driven by Gaussian noise have the strong Feller property up to the critical topology given by the domain of the Stokes operator to the power one-fourth.
Keywords
Cite
@article{arxiv.1003.4623,
title = {Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations},
author = {Marco Romito},
journal= {arXiv preprint arXiv:1003.4623},
year = {2010}
}
Comments
submitted to JMAA for the special issue on "Stochastic PDEs in Fluid Dynamics, Particle Physics and Statistical Mechanics"