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Finite element approximation for the dynamics of asymmetric fluidic biomembranes

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



Abstract

We present a parametric finite element approximation of a fluidic membrane whose evolution is governed by a surface Navier-Stokes equation coupled to bulk Navier-Stokes equations. The elastic properties of the membrane are modelled with the help of curvature energies of Willmore and Helfrich type. Forces stemming from these energies act on the surface fluid, together with a forcing from the bulk ...

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