4 papers
On a novel approach for modeling liquid crystalline flows
Stefan Metzger
In this paper, we derive a new model for the description of liquid crystalline flows. While microscopic Doi type models suffer from the high dimensionality of the underlying produc…
Phase-field dynamics with transfer of materials: The Cahn--Hilliard equation with reaction rate dependent dynamic boundary conditions
Patrik Knopf, Kei Fong Lam, Chun Liu +1
The Cahn--Hilliard equation is one of the most common models to describe phase separation processes of a mixture of two materials. For a better description of short-range interacti…
Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach
Stefan Metzger, Peter Knabner
We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore…
An efficient and convergent finite element scheme for Cahn--Hilliard equations with dynamic boundary conditions
Stefan Metzger
The Cahn--Hilliard equation is a widely used model that describes amongst others phase separation processes of binary mixtures or two-phase flows. In the recent years, different ty…