On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities
type: Item
instance of: scholarly article
title: On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities
zbMATH Open document ID: 1259.35226
author: Senjo Shimizu
author: Jan Pruess
published in: Journal of Evolution Equations
publication date: 2013-02-18T00:00:00Z
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 76T10
zbMATH DE Number: 6136975
zbMATH Keywords: two-phase Navier-Stokes equations
zbMATH Keywords: surface tension
zbMATH Keywords: phase transitions
zbMATH Keywords: well-posedness
zbMATH Keywords: maximal \(L _{p }\)-regularity
MaRDI profile type: Publication
full work available at URL: s00028-012-0161-3
OpenAlex ID: W2156660142
cites work: General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids
cites work: $L_p$-Theory for a Class of Non-Newtonian Fluids
cites work: Well-posedness of a Two-phase Flow with Soluble Surfactant
cites work: Conduction-convection problems with change of phase
cites work: Three-dimensional conduction-convection problems with change of phase
cites work: \(L^p\)-theory of the Stokes equation in a half space
cites work: On the closedness of the sum of two closed operators
cites work: Analytic solutions for a Stefan problem with Gibbs-Thomson correction
cites work: Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
cites work: Q4392917
cites work: Q4392918
cites work: Q4090062
cites work: Q3063963
cites work: The \(H^\infty\)-calculus and sums of closed operators
cites work: Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension
cites work: On the Classical Solvability of the Stefan Problem in a Viscous Incompressible Fluid Flow
cites work: CLASSICAL SOLVABILITY OF THE TWO-PHASE STEFAN PROBLEM IN A VISCOUS INCOMPRESSIBLE FLUID FLOW
cites work: Existence of analytic solutions for the classical Stefan problem
cites work: On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities
cites work: $H^\infty$-calculus for the sum of non-commuting operators
cites work: Stability of Equilibria for the Stefan Problem With Surface Tension
cites work: On the two-phase Navier-Stokes equations with surface tension
cites work: Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity
cites work: Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension
cites work: On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations
cites work: Q4845114
DOI: 10.1007/S00028-012-0161-3
description: scientific article; zbMATH DE number 6136975