Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2012; 49(2): 319-327

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.319

Copyright © The Korean Mathematical Society.

Mathematical analysis of a multifluid interpenetration mix model

Hyeonseong Jin

Jeju National University

Abstract

The equations of a multifluid interpenetration mix model are analyzed. The model is an intermediate mix model in the sense that it is defined by partial pressures but only a single global pressure and a single global temperature. It none-the-less avoids the stability difficulty. It is shown that the model is hyperbolic so that it is mathematically stable.

Keywords: multiphase flow, averaged equations, hyperbolic models, stability, closures

MSC numbers: 76Txx, 76F25, 76Nxx, 76Axx