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

DOI10.1051/m2an/2017037zbMath1383.35153arXiv1611.05343OpenAlexW3098433744WikidataQ117202069 ScholiaQ117202069MaRDI QIDQ3133566

John W. Barrett, Harald Garcke, Robert Nürnberg

Publication date: 2 February 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05343

zbMATH Keywords

parametric finite elementsHelfrich energyspontaneous curvatureline energyfluidic membranessurface Cahn-Hilliard equationincompressible two-phase Navier-Stokes flowlocal surface area conservationMarangoni-type effectssurface phase field model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Biophysics (92C05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Biological fluid mechanics (76Z99) Other free boundary flows; Hele-Shaw flows (76D27)

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