91 citations · 95 across the 11 of their papers we have counts for
11 papers
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…
Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model
Harald Garcke, Michael Hinze, Christian Kahle
We propose a general control framework for two-phase flows with variable densities in the diffuse interface formulation, where the distribution of the fluid components is described…
Two-phase flow with surfactants: Diffuse interface models and their analysis
Helmut Abels, Harald Garcke, Kei Fong Lam +1
New diffuse interface and sharp interface models for soluble and insoluble surfactants fulfilling energy inequalities are introduced. We discuss their relation with the help of asy…
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…
Optimal control of treatment time in a diffuse interface model of tumor growth
Harald Garcke, Kei-Fong Lam, Elisabetta Rocca
We consider an optimal control problem for a diffuse interface model of tumor growth. The state equations couples a Cahn-Hilliard equation and a reaction-diffusion equation, which…