3 papers
math.AP2025
Quantitative estimates for bending energies and applications to non-local variational problems
Michael Goldman, Matteo Novaga, Matthias Röger
We discuss a variational model, given by a weighted sum of perimeter, bending and Riesz interaction energies, that could be considered as a toy model for charged elastic drops. The…
math.AP2024
Phase separation on varying surfaces and convergence of diffuse interface approximations
Heiner Olbermann, Matthias Röger
In this paper we consider phase separations on (generalized) hypersurfaces in Euclidian space. We consider a diffuse surface area (line tension) energy of Modica-Mortola type and p…
math.AP2024
Mathematical analysis of a mesoscale model for multiphase membranes
Jakob Fuchs, Matthias Röger
In this paper we introduce a mesoscale continuum model for membranes made of two different types of amphiphilic lipids. The model extends work by Peletier and the second author [Ar…