scholarly journals Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows

2010 ◽  
pp. 121-150 ◽  
Author(s):  
Jacobus Portegies ◽  
Mark Peletier
Keyword(s):  
Boundary Problem ◽  
Moving Boundary ◽  
Moving Boundary Problem ◽  
Well Posedness ◽  
Gradient Flows ◽  
Wasserstein Gradient Flows

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

2015 ◽  
Vol 27 (4) ◽  
pp. 647-666
Author(s):  
FRIEDRICH LIPPOTH ◽  
MARK A. PELETIER ◽  
GEORG PROKERT
Keyword(s):  
Surface Tension ◽  
Boundary Problem ◽  
Osmotic Pressure ◽  
Moving Boundary ◽  
Stokes Equations ◽  
Semipermeable Membrane ◽  
Moving Boundary Problem ◽  
Classical Solutions ◽  
Well Posedness ◽  
Short Time

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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