 
Summary: arXiv:math/0603295v1[math.AP]13Mar2006
On finitedimensional projections of distributions
for solutions of randomly forced PDE's
A. Agrachev 1
, S. Kuksin 2
, A. Sarychev 3
, A. Shirikyan 4
Abstract
The paper is devoted to studying the image of probability measures
on a Hilbert space under finitedimensional 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 NavierStokes equations
perturbed by various random forces of low dimension.
AMS subject classifications: 35Q30, 60H15, 93C20
Keywords: 2D NavierStokes system, analytic transformations, random
perturbations
Contents
0 Introduction 2
1 Decomposable measures on Hilbert spaces 4
