Two-phase flow problem coupled with mean curvature flow
type: Item
instance of: scholarly article
title: Two-phase flow problem coupled with mean curvature flow
zbMATH Open document ID: 1246.35212
DOI: 10.4171/IFB/279
author: Chun Liu
author: Norifumi Sato
author: Yoshihiro Tonegawa
published in: Interfaces and Free Boundaries
publication date: 2012-09-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.4054
review text: Summary: We prove the existence of generalized solution for incompressible and viscous non-Newtonian two-phase fluid flow for spatial dimension \(d =2\) and 3. Separating two shear thickening fluids with power law viscosity strictly above critical growth \(p = (d + 2)/2\), the phase boundary moves along with the fluid flow plus its mean curvature while exerting surface tension force to the fluid. An approximation scheme combining the Galerkin method and the phase field method is adopted.
Mathematics Subject Classification ID: 35R37
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 35Dxx
zbMATH DE Number: 6078136
zbMATH Keywords: two-phase fluid
zbMATH Keywords: surface energy
zbMATH Keywords: varifold
zbMATH Keywords: phase field method
MaRDI profile type: Publication
arXiv ID: 1102.4054
OpenAlex ID: W2058600858
description: scientific article; zbMATH DE number 6078136