# Toward a mathematical analysis for a model of suspension flowing down an inclined plane

## Main Article Content

## Abstract

We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. 717, 203–231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)].

## Article Details

How to Cite

Matsue, K., & Tomoeda, K.
(2017).
Toward a mathematical analysis for a model of suspension flowing down an inclined plane.

*Proceedings Of Equadiff 2017 Conference,*, 349-358. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/703/586
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Articles