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 |