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We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The
membrane is characterized by its Canham-Helfrich energy (Willmore energy with area
constraint) and acts as a boundary force on the Navier-Stokes system modeling an
incompressible fluid. We give a concise description of the model and of the associated
numerical scheme. We provide numerical simulations with emphasis on the comparisons
between different types of flow:...
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