On the modeling of the transport of particles in turbulent flows
Goudon, Thierry ; Poupaud, Frédéric
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004), p. 673-690 / Harvested from Numdam
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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.

Publié le : 2004-01-01
DOI : https://doi.org/10.1051/m2an:2004032
Classification:  35B25,  35Q99 
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     author = {Goudon, Thierry and Poupaud, Fr\'ed\'eric},
     title = {On the modeling of the transport of particles in turbulent flows},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {38},
     year = {2004},
     pages = {673-690},
     doi = {10.1051/m2an:2004032},
     mrnumber = {2087729},
     zbl = {1079.76037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2004__38_4_673_0}
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Goudon, Thierry; Poupaud, Frédéric. On the modeling of the transport of particles in turbulent flows. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) pp. 673-690. doi : 10.1051/m2an:2004032. http://gdmltest.u-ga.fr/item/M2AN_2004__38_4_673_0/

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