| Title | On finite-dimensional projections of distributions for solutions of randomly forced PDE\\\'s |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Agrachev, AA, Kuksin, S, Sarychev, A, Shirikyan, A |
| Journal | Ann. Inst. Henri Poincare-Prob. Stat. 43 (2007) 399-415 |
| 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. |
| URL | http://hdl.handle.net/1963/2012 |
| DOI | 10.1016/j.anihpb.2006.06.001 |
| Alternate Journal | On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations |
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