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| I will present several models describing the dynamics of a fluid membrane immersed in a bulk fluid. Such a membrane consists of a two-layered sheet of phospholipid molecules and can be modelled mathematically as one or two Boussinesq-Scriven surface fluids living on a moving interface and subject to bending stresses of Willmore type. These models give rise to interesting mathematical problems in the analysis of elliptic, parabolic, and wave type pdes. |
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