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arXiv · 1603.05231

Convergence of an approximation for rotationally symmetric two-phase lipid bilayer membranes

Michael Helmers
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Abstract

We consider a diffuse interface approximation for the lipid phases of rotationally symmetric two-phase bilayer membranes and rigorously derive its $\Gamma$-limit. In particular, we prove that limit vesicles are $C^1$ across interfaces, which justifies a regularity assumption that is widely made in formal asymptotic and numerical studies. Moreover, a limit membrane may consist of several topological spheres, which are connected at the axis of revolution and resemble complete buds of the vesicle.

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Michael Helmers. 2016-03-01. Convergence of an approximation for rotationally symmetric two-phase lipid bilayer membranes. https://doi.org/10.1093/qmath%2Fhau027

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