DYNAMIC THEORY OF SUSPENSIONS WITH BROWNIAN EFFECTS.

R. Caflisch; G. C. Papanicolaou

doi:10.1137/0143057

DYNAMIC THEORY OF SUSPENSIONS WITH BROWNIAN EFFECTS.

R. Caflisch, G. C. Papanicolaou

Mathematics

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Abstract

A suspension of particles in a fluid settling under the influence of gravity and dispersing by Brownian motion is considered. A mathematical description is provided by the Stokes equations and a Fokker-Planck equation for the one-particle phase space density. This is a nonlinear system that depends on a number of parametric functions of the spatial concentration of the particles. These functions are known only empirically or for dilute suspensions. The authors analyze the system, its stability, its asymptotic behavior under different scalings and its validity from more microscopic description.

Original language	English (US)
Pages (from-to)	885-906
Number of pages	22
Journal	SIAM Journal on Applied Mathematics
Volume	43
Issue number	4
DOIs	https://doi.org/10.1137/0143057
State	Published - 1983

ASJC Scopus subject areas

Applied Mathematics

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DYNAMIC THEORY OF SUSPENSIONS WITH BROWNIAN EFFECTS.

Abstract

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