IJPAM: Volume 46, No. 4 (2008)
WITH CONSTANT DRIFT GRADIENT
Department of Mathematics
University of Southern California
Kaprielian Hall, Room 108
3620 Vermont Avenue, Los Angeles, CA 90089-2532, USA
e-mail: piter@usc.edu
Abstract.Absolute and relative dispersion are investigated for two types of stochastic flows with a linear drift, the Brownian flow, which implies delta-correlated velocity fluctuations, and the first order Markov flow with memory characterized by finite correlation time. It is shown that anisotropy of absolute dispersion is completely determined by anisotropy of the drift while its magnitude depends on both, drift and velocity fluctuation statistics. In contrast, anisotropy of the relative dispersion is strongly affected by the fluctuation statistics and the crucial parameter is the normal correlation length.
Received: August 24, 2008
AMS Subject Classification: 76F25, 76F55, 86A05, 62M20
Key Words and Phrases: stochastic flows, turbulence, dispersion, relative dispersion, shear flow
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 4
