On weak solutions to a diffuse interface model of a binary mixture of compressible fluids

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2016.9.173 ◽

2016 ◽

Vol 9 (1) ◽

pp. 173-183 ◽

Author(s):

Eduard Feireisl ◽

Keyword(s):

Binary Mixture ◽

Weak Solutions ◽

Compressible Fluids ◽

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model

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Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2019011 ◽

2019 ◽

Vol 18 (1) ◽

pp. 195-225 ◽

Author(s):

Helmut Abels ◽

◽

Harald Garcke ◽

Josef Weber

Keyword(s):

Weak Solutions ◽

Two Phase Flow ◽

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model ◽

Two Phase ◽

Existence Of Weak Solutions

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Weak solutions for a diffuse interface model for two‐phase flows of incompressible fluids with different densities and nonlocal free energies

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6111 ◽

2020 ◽

Vol 43 (6) ◽

pp. 3200-3219 ◽

Author(s):

Helmut Abels ◽

Yutaka Terasawa

Keyword(s):

Weak Solutions ◽

Incompressible Fluids ◽

Diffuse Interface ◽

Interface Model ◽

Free Energies ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

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Global existence of weak solutions to a diffuse interface model for magnetic fluids

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103243 ◽

2021 ◽

Vol 59 ◽

pp. 103243

Author(s):

Martin Kalousek ◽

Sourav Mitra ◽

Anja Schlömerkemper

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Magnetic Fluids ◽

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model ◽

Existence Of Weak Solutions

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Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2013.07.001 ◽

2014 ◽

Vol 15 ◽

pp. 149-157 ◽

Author(s):

Helmut Abels ◽

Lars Diening ◽

Yutaka Terasawa

Keyword(s):

Weak Solutions ◽

Diffuse Interface ◽

Interface Model ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

Two Phase ◽

Existence Of Weak Solutions

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Weak solutions for a non-Newtonian diffuse interface model with different densities

Nonlinearity ◽

10.1088/0951-7715/29/11/3426 ◽

2016 ◽

Vol 29 (11) ◽

pp. 3426-3453 ◽

Author(s):

Helmut Abels ◽

Dominic Breit

Keyword(s):

Weak Solutions ◽

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model

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Existence of Weak Solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities

Communications in Mathematical Physics ◽

10.1007/s00220-009-0806-4 ◽

2009 ◽

Vol 289 (1) ◽

pp. 45-73 ◽

Author(s):

Helmut Abels

Keyword(s):

Weak Solutions ◽

Incompressible Fluids ◽

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model ◽

Existence Of Weak Solutions

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Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_2 ◽

2016 ◽

pp. 13-23

Author(s):

Helmut Abels ◽

Lars Diening ◽

Yutaka Terasawa

Keyword(s):

Power Law ◽

Weak Solutions ◽

Diffuse Interface ◽

Interface Model ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

Two Phase ◽

Existence Of Weak Solutions

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Global Weak Solutions to a Diffuse Interface Model for Incompressible Two-Phase Flows with Moving Contact Lines and Different Densities

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-019-01383-8 ◽

2019 ◽

Vol 234 (1) ◽

pp. 1-56 ◽

Author(s):

Ciprian G. Gal ◽

Maurizio Grasselli ◽

Hao Wu

Keyword(s):

Weak Solutions ◽

Diffuse Interface ◽

Interface Model ◽

Contact Lines ◽

Global Weak Solutions ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

Two Phase ◽

Moving Contact ◽

Moving Contact Lines

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Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-012-0118-x ◽

2012 ◽

Vol 15 (3) ◽

pp. 453-480 ◽

Author(s):

Helmut Abels ◽

Daniel Depner ◽

Harald Garcke

Keyword(s):

Weak Solutions ◽

Incompressible Fluids ◽

Diffuse Interface ◽

Interface Model ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

Two Phase ◽

Existence Of Weak Solutions

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Numerical validation of an upscaled sharp–diffuse interface model for stratified miscible flows

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2016.10.010 ◽

2017 ◽

Vol 137 ◽

pp. 246-265 ◽

Author(s):

L. Cherfils ◽

C. Choquet ◽

M.M. Diédhiou

Keyword(s):

Diffuse Interface ◽

Interface Model ◽

Diffuse Interface Model ◽

Numerical Validation ◽

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