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

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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Samenvatting

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.

Originele taal-2	Engels
Pagina's (van-tot)	161-179
Aantal pagina's	19
Tijdschrift	Interfaces and Free Boundaries
Volume	18
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.4171/IFB/361
Status	Gepubliceerd - 1 jan 2016

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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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