50 citations · 121 across the 9 of their papers we have counts for
9 papers
On a Mullins-Sekerka model for the growth of active droplets modelling protocells: Stability analysis and numerical computations
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
Mullins-Sekerka models with chemical reactions can lead to scenarios where droplets grow, become unstable, split, grow and undergo further division. These grow and division cycles…
The anisotropic Cahn--Hilliard equation with degenerate mobility: Existence of weak solutions
Harald Garcke, Patrik Knopf, Andrea Signori
This paper presents an existence result for the anisotropic Cahn--Hilliard equation characterized by a potentially concentration-dependent degenerate mobility taking into account a…
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…
Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
Pierluigi Colli, Patrik Knopf, Giulio Schimperna +1
We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium.…
Phase field topology optimisation for 4D printing
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed st…
Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the penalization of overhangs (regions of th…
Sparse optimal control of a phase field tumour model with mechanical effects
Harald Garcke, Kei Fong Lam, Andrea Signori
In this paper, we study an optimal control problem for a macroscopic mechanical tumour model based on the phase field approach. The model couples a Cahn--Hilliard type equation to…
On the nonlocal Cahn--Hilliard equation with nonlocal dynamic boundary condition and boundary penalization
Patrik Knopf, Andrea Signori
The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have b…
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
Harald Garcke, Kei Fong Lam, Andrea Signori
Mechanical effects have mostly been neglected so far in phase field tumour models that are based on a Cahn-Hilliard approach. In this paper we study a macroscopic mechanical model…