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.
|Number of pages||17|
|Journal||Annales de l'institut Henri Poincare (B) Probability and Statistics|
|Publication status||Published - Jul 2007|
- 2D Navier-Stokes system
- Analytic transformations
- Random perturbations