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

Friedrich Lippoth; Georg Prokert

doi:10.4171/IFB/361

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

Friedrich Lippoth, Georg Prokert

Research output: Contribution to journal › Article › Academic › peer-review

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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 language	English
Pages (from-to)	161-179
Number of pages	19
Journal	Interfaces and Free Boundaries
Volume	18
Issue number	2
DOIs	https://doi.org/10.4171/IFB/361
Publication status	Published - 1 Jan 2016

Keywords

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

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10.4171/IFB/361

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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.",

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AU - Prokert, Georg

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AB - 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.

KW - Maximal L-regularity

KW - Moving boundary problem

KW - Osmosis

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KW - Variational modelling

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IS - 2

ER -

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

Abstract

Keywords

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