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

2010/03/24 by Romito, Marco
#35Q30 #60H30 #76M35 #FOS: Mathematics #Primary 76D05 #Probability (math.PR) #Secondary 60H15

paper · doi:10.48550/arxiv.1003.4623

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.

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