Qualitative properties of stationary measures for three-dimensional Navier-Stokes equations
type: Item
instance of: scholarly article
title: Qualitative properties of stationary measures for three-dimensional Navier-Stokes equations
zbMATH Open document ID: 1221.35287
published in: Journal of Functional Analysis
publication date: 2007-09-13T00:00:00Z
review text: The non-stationary, three-dimensional Navier-Stokes equation is considered. It is assumed that the exterior force which appears in the right-hand side of Navier-Stokes equation is the time derivative of a random process with independent increments and sufficiently non-degenerate distribution in the space variables. The purpose of this paper is to study the distribution of stationary solutions of Navier-Stokes equation for the right-hand side described above. It is proved that the support of such a distribution coincides with the entire phase space and its finite-dimensional projections are minorised by a measure possessing an almost surely positive smooth density with respect to the Lebesgue measure.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5190785
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: stationary solutions
zbMATH Keywords: random force
author: Armen Shirikyan
MaRDI profile type: Publication
full work available at URL: j.jfa.2007.01.005
OpenAlex ID: W2090569969
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DOI: 10.1016/J.JFA.2007.01.005
description: scientific article; zbMATH DE number 5190785