On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment

Details On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment

2005-03-24

arxiv.org/abs/math/0503534v1

Annals of Applied Probability 2004, Vol. 14, No. 4, 1666-1697

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051604000000945 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051604000000945

We study the transport of a passive tracer particle in a steady strongly
mixing flow with a nonzero mean velocity. We show that there exists a
probability measure under which the particle Lagrangian velocity process is
stationary. This measure is absolutely continuous with respect to the
underlying probability measure for the Eulerian flow.

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