Well-posedness for a non-isothermal flow of two viscous incompressible fluids
type: Item
instance of: scholarly article
title: Well-posedness for a non-isothermal flow of two viscous incompressible fluids
zbMATH Open document ID: 1397.35216
author: Juliana Honda Lopes
author: Gabriela Planas
published in: Communications on Pure and Applied Analysis
publication date: 2018-08-23T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 6923953
zbMATH Keywords: two-phase fluids
zbMATH Keywords: phase-field model
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Allen-Cahn equation
MaRDI profile type: Publication
full work available at URL: cpaa.2018117
OpenAlex ID: W2806752291
cites work: On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
cites work: DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
cites work: Weak solutions of a phase-field model for phase change of an alloy with thermal properties
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: On the Caginalp system with dynamic boundary conditions and singular potentials.
cites work: Regularity and time-periodicity for a nematic liquid crystal model
cites work: Analysis of a phase field Navier-Stokes vesicle-fluid interaction model
cites work: On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids
cites work: Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids
cites work: ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
cites work: An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges
cites work: Analysis of finite element approximations of a phase field model for two-phase fluids
cites work: Hypertemperature in thermoelastic solids
cites work: Q2759325
cites work: Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
cites work: Longtime behavior for a model of homogeneous incompressible two-phase flows
cites work: Trajectory attractors for binary fluid mixtures in 3D
cites work: Q3470840
cites work: Using the gradients of temperature and internal parameters in continuum thermodynamics
cites work: Two-phase incompressible flows with variable density: an energetic variational approach
cites work: Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
cites work: Nonparabolic dissipative systems modeling the flow of liquid crystals
cites work: A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
cites work: An Eulerian description of fluids containing viscoelastic particles
cites work: The initial value problem for a generalized Boussinesq model
cites work: Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
cites work: Q4000235
cites work: Q3260749
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q5268669
cites work: Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
cites work: Partial differential equations. I: Basic theory
cites work: Q4163866
cites work: Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect
cites work: Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects
cites work: Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
cites work: Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
Wikidata QID: Q129685481
DOI: 10.3934/CPAA.2018117
description: scientific article; zbMATH DE number 6923953