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

Friedrich Lippoth, Georg Prokert

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)161-179
Number of pages19
JournalInterfaces and Free Boundaries
Volume18
Issue number2
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Maximal L-regularity
  • Moving boundary problem
  • Osmosis
  • Two-phase Stokes equations
  • Variational modelling

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