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Finite element approximation for the dynamics of fluidic two-phase biomembranes

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert


Biomembranes and vesicles consisting of multiple phases can attain a multitude of shapes, undergoing complex shape transitions. We study a Cahn-Hilliard model on an evolving hypersurface coupled to Navier-Stokes equations on the surface and in the surrounding medium to model these phenomena. The evolution is driven by a curvature energy, modelling the elasticity of the membrane, and by a ...


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