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Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves
Christopher Brand, Georg Dolzmann and Alessandra Pluda ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 103(7) (2023) https://doi.org/10.1002/zamm.202100169
Numerical shape optimization of the Canham-Helfrich-Evans bending energy
Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour
Klaus Deckelnick, Marco Doemeland and Hans-Christoph Grunau Calculus of Variations and Partial Differential Equations 60(1) (2021) https://doi.org/10.1007/s00526-020-01875-6
Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation
John W. Barrett, Harald Garcke and Robert Nürnberg The SMAI Journal of computational mathematics 4 151 (2018) https://doi.org/10.5802/smai-jcm.32
Finite element approximation for the dynamics of fluidic two-phase biomembranes
John W. Barrett, Harald Garcke and Robert Nürnberg ESAIM: Mathematical Modelling and Numerical Analysis 51(6) 2319 (2017) https://doi.org/10.1051/m2an/2017037
The stretching elasticity of biomembranes determines their line tension and bending rigidity