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arXiv · 1003.4623

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

Marco Romito
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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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Marco Romito. 2010-03-24. Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations. https://arxiv.org/abs/1003.4623

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