2 papers
math.AP2018
On the Sharp Interface Limit of a Model for Phase Separation on Biological Membranes
Helmut Abels, Johannes Kampmann
We rigorously prove the convergence of weak solutions to a model for lipid raft formation in cell membranes which was recently proposed by Garcke et al. to weak (varifold) solution…
math.AP2018
On a Model for Phase Separation on Biological Membranes and its Relation to the Ohta-Kawasaki Equation
Helmut Abels, Johannes Kampmann
We provide a detailed mathematical analysis of a model for phase separation on biological membranes which was recently proposed by Garcke, Rätz, Röger and the second author. The mo…