Barrett, John W. and Garcke, Harald and Nurnberg, Robert (2017) FINITE ELEMENT APPROXIMATION FOR THE DYNAMICS OF FLUIDIC TWO-PHASE BIOMEMBRANES. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 51 (6). pp. 2319-2366. ISSN 0764-583X, 1290-3841
Full text not available from this repository. (Request a copy)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 Cahn-Hilliard type energy, modelling line energy effects. A stable semidiscrete finite element approximation is introduced and, with the help of a fully discrete method, several phenomena occurring for two-phase membranes are computed.
| Item Type: | Article |
|---|---|
| Uncontrolled 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 |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:18 |
| Last Modified: | 28 Feb 2019 11:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1691 |
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