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.
Publié le : 2004-11-14
Classification:
Random field,
diffusions in random media,
Lagrangian process,
invariant measure,
60F17,
35B27,
60G44
@article{1099674074,
author = {Komorowski, Tomasz and Krupa, Grzegorz},
title = {On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment},
journal = {Ann. Appl. Probab.},
volume = {14},
number = {1},
year = {2004},
pages = { 1666-1697},
language = {en},
url = {http://dml.mathdoc.fr/item/1099674074}
}
Komorowski, Tomasz; Krupa, Grzegorz. On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment. Ann. Appl. Probab., Tome 14 (2004) no. 1, pp. 1666-1697. http://gdmltest.u-ga.fr/item/1099674074/