Random measures and their application to motion in an incompressible fluid

1 September 1976

journal article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 13 (3) , 498-506
https://doi.org/10.2307/3212469

Abstract

A generalization of a theorem of Geman and Horowitz concerning random measures is obtained. Their theorem in turn is used to extend a well-known result of Lumley, which asserts that for homogeneous turbulence in an incompressible fluid the probability distributions of the Eulerian and Lagrangian velocities coincide with each other at all times.

Keywords

INCOMPRESSIBLE
THEOREM
LAGRANGIAN VELOCITIES
KNOWN RESULT
PROBABILITY DISTRIBUTIONS
HOMOGENEOUS TURBULENCE
CONCERNING RANDOM
VELOCITIES COINCIDE
HOROWITZ CONCERNING
WELL KNOWN

This publication has 1 reference indexed in Scilit:

Random Shifts Which Preserve Measure
Proceedings of the American Mathematical Society, 1975