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

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2017) Finite element approximation for the dynamics of fluidic two-phase biomembranes. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), pp. 2319-2366.

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Other URL: http://doi.org/10.1051/m2an/2017037


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:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.1051/m2an/2017037DOI
Keywords:PARAMETRIC WILLMORE FLOW; CAHN-HILLIARD EQUATION; PHASE FIELD MODEL; INTRAMEMBRANE DOMAINS; SPONTANEOUS CURVATURE; BIOLOGICAL-MEMBRANES; GIANT VESICLES; ELASTICITY; SURFACES; 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; Marangoni-type effects
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39466
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