188 citations · 282 across the 13 of their papers we have counts for
4 papers · 1 filter
A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
Harald Garcke, Johannes Kampmann, Andreas Rätz +1
We propose and investigate a model for lipid raft formation and dynamics in biological membranes. The model describes the lipid composition of the membrane and an interaction with…
Optimal distribution of oppositely charged phases: perfect screening and other properties
Marco Bonacini, Hans Knüpfer, Matthias Röger
We study the minimum energy configuration of a uniform distribution of negative charge subject to Coulomb repulsive self-interaction and attractive interaction with a fixed positiv…
Large deviation principle for a stochastic Allen-Cahn equation
Martin Heida, Matthias Röger
In this paper we consider the Allen-Cahn equation perturbed by a stochastic flux term and prove a large deviation principle. Using an associated stochastic flow of diffeomorphisms…
Gamma convergence of a family of surface--director bending energies with small tilt
Luca Lussardi, Matthias Röger
We prove a Gamma-convergence result for a family of bending energies defined on smooth surfaces in equipped with a director field. The energies strongly penalize the…