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arXiv · 1409.7252

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

Friedrich Lippoth·Mark A. Peletier·Georg Prokert
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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.

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Friedrich Lippoth, Mark A. Peletier, Georg Prokert. 2014-09-25. A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness. https://doi.org/10.1017/s0956792515000595

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