Stability of Equilibria of a two-phase Stokes-Osmosis problem
Analysis of PDEs
2015-03-23 v1
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.
Keywords
Cite
@article{arxiv.1503.06057,
title = {Stability of Equilibria of a two-phase Stokes-Osmosis problem},
author = {Friedrich Lippoth and Georg Prokert},
journal= {arXiv preprint arXiv:1503.06057},
year = {2015}
}