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Asymptotic problems for a kinetic model of two-phase flow

Published online by Cambridge University Press:  12 July 2007

T. Goudon
T. Goudon
Affiliation:
Labo. J. A. Dieudonné, UMR 6621 Université Nice-Sophia Antipolis, Parc Valrose F-06108, Nice cedex 02, France (goudon@math.unice.fr)
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Abstract

We consider asymptotic problems for coupled equations modelling interactions between particles and a viscous fluid. The particles are driven by a Vlasov-like equation, involving the velocity of the fluid. We obtain, as certain parameters tend to 0, hydrodynamic equations for the macroscopic density and the velocity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 6 , December 2001 , pp. 1371 - 1384
Copyright
Copyright © Royal Society of Edinburgh 2001

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