Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations

Details Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations

2010-03-24

arxiv.org/abs/1003.4623v1

Mathematics

Probability

submitted to JMAA for the special issue on "Stochastic PDEs in Fluid Dynamics, Particle Physics and Statistical Mechanics"

Scientific paper

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.

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