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