H
Helmut Abels
Researcher at University of Regensburg
Publications - 136
Citations - 3134
Helmut Abels is an academic researcher from University of Regensburg. The author has contributed to research in topics: Boundary value problem & Cahn–Hilliard equation. The author has an hindex of 29, co-authored 127 publications receiving 2602 citations. Previous affiliations of Helmut Abels include Academy of Sciences of the Czech Republic & Max Planck Society.
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Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
TL;DR: In this paper, a new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics, which fulfills local and global dissipation inequalities.
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Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities
TL;DR: In this article, a new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics, which fulfills local and global dissipation inequalities.
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On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
TL;DR: In this article, the authors study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids of the same density in a bounded domain and prove the existence of weak solutions of the non-stationary system in two and three space dimensions for a class of physical relevant and singular free energy densities.
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Convergence to equilibrium for the Cahn–Hilliard equation with a logarithmic free energy
Helmut Abels,Mathias Wilke +1 more
TL;DR: In this paper, the authors investigated the asymptotic behavior of the nonlinear Cahn-Hilliard equation with a logarithmic free energy and similar singular free energies, and proved an existence and uniqueness result with the help of monotone operator methods.
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Existence of Weak Solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities
TL;DR: In this article, a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain is studied, where the fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model.