Capillary instability in models for three-phase flow
type: Item
instance of: scholarly article
title: Capillary instability in models for three-phase flow
zbMATH Open document ID: 1015.35068
author: B. Plohr
author: Kevin Zumbrun
author: Arthur Azevedo
author: Dan Marchesin
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2003-03-27T00:00:00Z
review text: A model with physically correct diffusion matrices, taking full account of capillarity is investigated. The authors show that if a three-phase flow model is well-behaved near the boundary, a Dumortier-Roussarie-Sotomayor point must exist within the region of strict hyperbolicity. In addition, they derive necessary and sufficient conditions for a three-phase flow model to be well-behaved near the boundary and then verify these conditions for an example.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76T30
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 1889132
zbMATH Keywords: flow in porous media
zbMATH Keywords: Capillary pressure instability
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
full work available at URL: s00033-002-8180-5
OpenAlex ID: W1576406892
DOI: 10.1007/S00033-002-8180-5
description: scientific article; zbMATH DE number 1889132