Remarks on the balance relations for the two-dimensional navier-stokes equation with random forcing

Sergei B. Kuksin

Research output: Contribution to journalArticle

Abstract

We use the balance relations for the stationary in time solutions of the randomly forced 2D Navier-Stokes equations, found in [10], to study these solutions further. We show that the vorticity ?(t,x) of a stationary solution has a finite exponential moment, and that for any a ? R, t=0 the expectation of the integral of |dx?| over the level-set {x|?(t,x)=a}, up to a constant factor equals the expectation of the integral of |dx?| over the same set. © 2006 Springer Science + Business Media, Inc.

Original languageEnglish
Pages (from-to)101-114
Number of pages14
JournalJournal of Statistical Physics
Volume122
Issue number1
DOIs
Publication statusPublished - Jan 2006

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Forcing
Navier-Stokes Equations
Stationary Solutions
Level Set
Vorticity
Moment
Business

Keywords

  • Balance relations
  • Exponential moment
  • Stationary measure
  • Two-dimensional Navier-Stokes equation
  • Vorticity

Cite this

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Remarks on the balance relations for the two-dimensional navier-stokes equation with random forcing. / Kuksin, Sergei B.

In: Journal of Statistical Physics, Vol. 122, No. 1, 01.2006, p. 101-114.

Research output: Contribution to journalArticle

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