06-61 Andrei Agrachev, Sergei Kuksin, Andrey Sarychev, Armen Shirikyan

On finite-dimensional projections of distributions for solutions of randomly forced PDE's (483K, Postscript) Mar 13, 06

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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.

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