62 citations · 141 across the 7 of their papers we have counts for
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math.AP2020★ 1 cited
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…
math.AP2020★ 62 cited
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…
physics.flu-dyn2020★ 20 cited
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…