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maximal continuous regularity

European Journal of Applied Mathematics (1)

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A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness
FRIEDRICH LIPPOTH, MARK A. PELETIER, GEORG PROKERT
Journal:

European Journal of Applied Mathematics / Volume 27 / Issue 4 / August 2016

Published online by Cambridge University Press:

24 November 2015, pp. 647-666
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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.