Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations

Details Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations

2012-04-26

arxiv.org/abs/1204.5900v1

Physics

Mathematical Physics

Scientific paper

In this paper we prove the law of large numbers and central limit theorem for trajectories of a particle carried by a two dimensional Eulerian velocity field. The field is given by a solution of a stochastic Navier--Stokes system with a non-degenerate noise. The spectral gap property, with respect to Wasserstein metric, for such a system has been shown in [9]. In the present paper we show that a similar property holds for the environment process corresponding to the Lagrangian observations of the velocity. In consequence we conclude the law of large numbers and the central limit theorem for the tracer. The proof of the central limit theorem relies on the martingale approximation of the trajectory process.

Affiliated with

Also associated with

No associations

Rating

Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Passive tracer in a flow corresponding to a two dimensional stochastic Navier Stokes equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314343