Osmotic forces and solute diffusion are increasingly seen as playing a fundamental role in
cell movement. Here, we present a numerical method that allows for studying the interplay …

Free boundary problems based on mass conservation and surface tension with application
in osmotic swelling are the topic of this contribution. Phase-field approximations of such …

In this thesis, previous models from literature of a free drop of liquid from surface-
tensiondriven Stokes flow are expanded by taking the influence of a surfactant into account …

Within the framework of variational modelling we derive a two-phase moving boundary
problem that describes the motion of a semipermeable membrane separating two viscous …

We rigorously justify the quasistationary approximations of two moving boundary problems.
We work out a systematic procedure to derive a priori estimates that allow to pass to the …