Hostname: page-component-7b9c58cd5d-v2ckm Total loading time: 0 Render date: 2025-03-15T10:24:46.611Z Has data issue: false hasContentIssue false

Asymptotic problems for a kinetic model of two-phase flow

Published online by Cambridge University Press:  12 July 2007

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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Royal Society of Edinburgh 2001