Stability of equilibria of a two-phase Stokes-osmosis problem

  • Friedrich Lippoth

    Leibniz Universität Hannover, Germany
  • Georg Prokert

    TU Eindhoven, Netherlands

Abstract

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 liquids in a fixed container. The model includes the effects of osmotic pressure and surface tension of the membrane. For this problem we prove that the manifold of steady states is locally exponentially attractive.

Cite this article

Friedrich Lippoth, Georg Prokert, Stability of equilibria of a two-phase Stokes-osmosis problem. Interfaces Free Bound. 18 (2016), no. 2, pp. 161–179

DOI 10.4171/IFB/361