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

URN to cite this document:: urn:nbn:de:bvb:355-epub-353319
DOI to cite this document:: 10.5283/epub.35331

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

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Date of publication of this fulltext: 06 Mar 2017 11:20

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	9/2016
Date:	2016
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Keywords:	fluidic membranes, incompressible two-phase Navier–Stokes flow, parametric finite elements, Helfrich energy, spontaneous curvature, local surface area conservation, line energy, surface phase field model, surface Cahn–Hilliard equation, Marangonitype effects
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Submitted
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	35331

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Abstract

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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