PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Passive tracers in a slowly decorrelating random velocity field.
Seminar:Seminar on Probability and its Application
Speaker:Alexei Novikov, PSU
Abstract:
Consider the movement of a single particle advected by a random flow V. Here V=V(x,t) is a mean-zero, stationary, incompressible vector field, modeled by an Ornstein-Uhlenbeck process. If V is sufficiently well mixing, then the large-scale long-time asymptotic behavior of the particle is diffusive, and the statistics of the distance between two particles is also diffusive. In contrast, if V is slowly decorrelating, then the large-scale long-time asymptotic behavior of the particle may be described by a fractional Brownian motion, whereas the distance between two particles still has diffusive behavior. This is a joint work with T.Komorowski and L.Ryzhik.

Room Reservation Information

Room Number:MB106
Date:09 / 17 / 2010
Time:02:30pm - 03:25pm