On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations

A. Agrachev, S. Kuksin, A. Sarychev, A. Shirikyan

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The paper is devoted to studying the image of probability measures on a Hilbert space under finite-dimensional analytic maps. We establish sufficient conditions under which the image of a measure has a density with respect to the Lebesgue measure and continuously depends on the map. The results obtained are applied to the 2D Navier-Stokes equations perturbed by various random forces of low dimension. © 2006 Elsevier Masson SAS. All rights reserved.

Original languageEnglish
Pages (from-to)399-415
Number of pages17
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume43
Issue number4
DOIs
Publication statusPublished - Jul 2007

Keywords

  • 2D Navier-Stokes system
  • Analytic transformations
  • Random perturbations

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