50 citations · 121 across the 9 of their papers we have counts for
6 papers · 1 filter
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.…
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…