188 citations · 1.6k across the 107 of their papers we have counts for
4 papers · 2 filters
Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
Helmut Abels, Harald Garcke, Andrea Poiatti
We analyze a diffuse interface model for multi-phase flows of incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smoot…
The anisotropic Cahn--Hilliard equation: regularity theory and strict separation properties
Harald Garcke, Patrik Knopf, Julia Wittmann
The Cahn--Hilliard equation with anisotropic energy contributions frequently appears in many physical systems. Systematic analytical results for the case with the relevant logarith…
Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics
Philipp Nöldner, Martin Burger, Harald Garcke
We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biologic…
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains
Abramo Agosti, Pierluigi Colli, Harald Garcke +1
We propose a new Cahn-Hilliard phase field model coupled to incompressible viscoelasticity at large strains, obtained from a diffuse interface mixture model and formulated in the E…