91 citations · 97 across the 15 of their papers we have counts for
8 papers · 1 filter
On a diffuse interface model for diblock copolymers interacting with an electric field
Helmut Abels, Andrea Di Primio, Harald Garcke
We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is model…
Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness
Helmut Abels, Harald Garcke, Andrea Poiatti
We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and…
Complex pattern formation governed by a Cahn-Hilliard-Swift-Hohenberg system: Analysis and numerical simulations
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting syst…
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…
Global weak solutions and asymptotic limits of a Cahn--Hilliard--Darcy system modelling tumour growth
Harald Garcke, Kei Fong Lam
We study the existence of weak solutions to a Cahn--Hilliard--Darcy system coupled with a convection-reaction-diffusion equation through the fluxes, through the source terms and in…