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BEGIN:VEVENT
SUMMARY:Existence of densities for the Navier Stokes equations with noise
DTSTART:20120515T101500
DTEND:20120515T111500
DTSTAMP:20260428T175022Z
UID:38e412eb4721eace05b7b7bb57e653412dd60cde374b0b7ef822b563
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marco Romito\nExistence of densities for the distribution of t
 he solution of a stochastic equation is a probabilistic form of regularity
 . We present three different methods to prove existence of a density with 
 respect to the Lebesgue measure for the law of any finite dimensional proj
 ection of solutions of the 3D Navier-Stokes equations forced by Gaussian n
 oise.\nEach of the three methods has some advantages\, as well as disadvan
 tages. The first two methods provide a qualitative result\, the third meth
 od gives quantitative estimates and ensures a bit of regularity in Besov s
 paces\, without restrictions on the decay of the coefficients of the (alth
 ough non--degenerate) driving noise. Some (qualitative) hints can be given
  also for the hypoelliptic case.\nThis is a joint work with A. Debussche (
 ENS Cachan Bretagne).
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STATUS:CONFIRMED
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