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

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2016) Finite element approximation for the dynamics of fluidic two-phase biomembranes. Preprintreihe der Fakultät Mathematik 9/2016, Working Paper. (Submitted)

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

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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
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
Owner only: item control page

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