Weak Solutions and Diffuse Interface Models for Incompressible Two-Phase Flows

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-10151-4_29-1 ◽

2016 ◽

pp. 1-60 ◽

Author(s):

Helmut Abels ◽

Harald Garcke

Keyword(s):

Weak Solutions ◽

Diffuse Interface ◽

Two Phase Flows ◽

Two Phase ◽

Interface Models

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On sharp interface limits for diffuse interface models for two-phase flows

Interfaces and Free Boundaries ◽

10.4171/ifb/324 ◽

2014 ◽

Vol 16 (3) ◽

pp. 395-418 ◽

Author(s):

Helmut Abels ◽

Daniel Lengeler

Keyword(s):

Sharp Interface ◽

Diffuse Interface ◽

Two Phase Flows ◽

Two Phase ◽

Interface Models

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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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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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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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Diffuse interface models for two-phase flows in artificial compressibility approach

Journal of Physics Conference Series ◽

10.1088/1742-6596/1101/1/012013 ◽

2018 ◽

Vol 1101 ◽

pp. 012013 ◽

Author(s):

Adam Kajzer ◽

Jacek Pozorski

Keyword(s):

Diffuse Interface ◽

Two Phase Flows ◽

Two Phase ◽

Artificial Compressibility ◽

Interface Models

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Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids

Transport Processes at Fluidic Interfaces - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-319-56602-3_9 ◽

2017 ◽

pp. 231-253 ◽

Author(s):

Helmut Abels ◽

YuNing Liu ◽

Andreas Schöttl

Keyword(s):

Incompressible Fluids ◽

Sharp Interface ◽

Diffuse Interface ◽

Two Phase Flows ◽

Two Phase ◽

Interface Models

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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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Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities

Transport Processes at Fluidic Interfaces - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-319-56602-3_8 ◽

2017 ◽

pp. 203-229 ◽

Author(s):

Helmut Abels ◽

Harald Garcke ◽

Günther Grün ◽

Stefan Metzger

Keyword(s):

Diffuse Interface ◽

Two Phase Flows ◽

Two Phase ◽

Interface Models

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DINMOD: A diffuse interface model for two-phase flows modelling

Numerical Methods for Hyperbolic and Kinetic Problems ◽

10.4171/012-1/10 ◽

2009 ◽

pp. 209-237

Author(s):

F. Caro ◽

F. Coquel ◽

D. Jamet ◽

S. Kokh

Keyword(s):

Diffuse Interface ◽

Interface Model ◽

Two Phase Flows ◽

Diffuse Interface Model ◽

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