Geodesic
Stability of equilibria of a two-phase Stokes-osmosis problem
Friedrich Lippoth1 ; Georg Prokert2
1Leibniz Universität Hannover, Germany
2TU Eindhoven, Netherlands
Interfaces and free boundaries, Tome 18 (2016) no. 2, pp. 161-179

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DOI

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.
DOI : 10.4171/ifb/361
Classification : 35-XX, 76-XX
Mots-clés : Variational modelling, two-phase Stokes equations, osmosis, moving boundary problem, maximal Lp​-regularity.

Friedrich Lippoth  1   ; Georg Prokert  2

1 Leibniz Universität Hannover, Germany
2 TU Eindhoven, Netherlands 
Friedrich Lippoth; Georg Prokert. Stability of equilibria of a two-phase Stokes-osmosis problem. Interfaces and free boundaries, Tome 18 (2016) no. 2, pp. 161-179. doi: 10.4171/ifb/361
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     title = {Stability of equilibria of a two-phase {Stokes-osmosis} problem},
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     pages = {161--179},
     year = {2016},
     volume = {18},
     number = {2},
     doi = {10.4171/ifb/361},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/361/}
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