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A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness

Published online by Cambridge University Press:  24 November 2015

FRIEDRICH LIPPOTH ,
MARK A. PELETIER  and
GEORG PROKERT
FRIEDRICH LIPPOTH
Affiliation:
Institute of Applied Mathematics, Leibniz University Hannover, Welfengarten 1, D-30167 Hannover, Germany email: lippoth@ifam.uni-hannover.de
MARK A. PELETIER
Affiliation:
Faculty of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, the Netherlands emails: m.a.peletier@tue.nl, g.prokert@tue.nl
GEORG PROKERT
Affiliation:
Faculty of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, the Netherlands emails: m.a.peletier@tue.nl, g.prokert@tue.nl
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Abstract

Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For this problem we prove the existence of classical solutions for a short-time.

Keywords

variational modellingStokes equationsosmosismoving boundary problemmaximal continuous regularity
Type
Papers
Information
European Journal of Applied Mathematics , Volume 27 , Issue 4 , August 2016 , pp. 647 - 666
Copyright
Copyright © Cambridge University Press 2015 

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