Issue |
ESAIM: M2AN
Volume 38, Number 4, July-August 2004
|
|
---|---|---|
Page(s) | 673 - 690 | |
DOI | https://doi.org/10.1051/m2an:2004032 | |
Published online | 15 August 2004 |
On the modeling of the transport of particles in turbulent flows
1
Laboratoire Paul Painlevé U.M.R.
8524, CNRS, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France. thierry.goudon@math.univ-lille1.fr.
2
Laboratoire J.A. Dieudonné U.M.R.
6621, CNRS, Université Nice-Sophia Antipolis,
Parc Valrose, 06108 Nice
Cedex 2, France. poupaud@math.unice.fr.
Received:
25
September
2003
We investigate different asymptotic regimes for Vlasov equations modeling the evolution of a cloud of particles in a turbulent flow. In one case we obtain a convection or a convection-diffusion effective equation on the concentration of particles. In the second case, the effective model relies on a Vlasov-Fokker-Planck equation.
Mathematics Subject Classification: 35B25 / 35Q99
Key words: Fluid-particles interaction / hydrodynamic limits / turbulence effects.
© EDP Sciences, SMAI, 2004
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