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SUMMARY:Passive tracer in a flow corresponding to two dimensional stochast
 ic Navier--Stokes equations - Peszat\, S (Polish Academy of Sciences)
DTSTART:20120913T085000Z
DTEND:20120913T094000Z
UID:TALK39723@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We prove the law of large numbers and central limit theorem fo
 r trajectories of particle carried by a two dimensional Eulerian velocity 
 field. The field is given by a solution of a stochastic Navier--Stokes sys
 tem with a non-degenerate noise. The spectral gap property\, with respect 
 to Wasserstein metric\, for such a system has been shown by Hairer and Mat
 tingly. We show that a similar property holds for the environment process 
 corresponding to the Lagrangian observations of the velocity. The proof of
  the central limit theorem relies on the martingale approximation of the t
 rajectory process. \n
LOCATION:Seminar Room 1\, Newton Institute
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