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

Tomasz Komorowski·Grzegorz Krupa
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Abstract

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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Tomasz Komorowski, Grzegorz Krupa. 2005-03-24. On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment. https://doi.org/10.1214/105051604000000945

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