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- W2049200757 abstract "Common models for two-phase lipid bilayer membranes are based on an energy that consists of an elastic term for each lipid phase and a line energy at interfaces. Although such an energy controls only the length of interfaces, the membrane surface is usually assumed to be at least C 1 across phase boundaries. We consider the spontaneous curvature model for closed rotationally symmetric two-phase membranes without excluding tangent discontinuities at interfaces a priorily. We introduce a family of energies for smooth surfaces and phase fields for the lipid phases and derive a sharp interface limit that coincides with the Γ-limit on all reasonable membranes and extends the classical model by assigning a bending energy also to tangent discontinuities. The theoretical result is illustrated by numerical examples." @default.
- W2049200757 created "2016-06-24" @default.
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- W2049200757 date "2012-08-16" @default.
- W2049200757 modified "2023-09-27" @default.
- W2049200757 title "Kinks in two-phase lipid bilayer membranes" @default.
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- W2049200757 doi "https://doi.org/10.1007/s00526-012-0550-z" @default.
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