Two-component viscous flows with density-dependent transition layer
type: Item
instance of: scholarly article
title: Two-component viscous flows with density-dependent transition layer
zbMATH Open document ID: 1194.35314
DOI: 10.4171/IFB/222
author: Gabriele Witterstein
published in: Interfaces and Free Boundaries
publication date: 2010-02-02T00:00:00Z
full work available at URL: www.ems-ph.org
review text: This paper deals with a model for a flow with a phase change caused by chemical reactions in the material flow. The author studies the dynamics of a fluid structure as well as the dynamics of a phase field structure. The one-dimensional, non stationary, compressible Navier-Stokes system is coupled with a phase field equation of Allen-Cahn type, describing the development of a phase change in the material. The boundary of the flow domain, which depends on the time variable, contains a fixed part and a free boundary, representing the interface between the liquid or gaseous medium and the vacuum. The problem is studied for a density-dependent viscosity and for a density-dependent transition layer. Under some assumptions, the existence of a unique weak global solution is proved.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 76N99
Mathematics Subject Classification ID: 92B99
zbMATH DE Number: 5665701
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: phase transition
zbMATH Keywords: variable transition layer
zbMATH Keywords: modeling biomaterials
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5665701