Convergence of an approximation for rotationally symmetric two-phase lipid bilayer membranes
Analysis of PDEs
2016-03-17 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We consider a diffuse interface approximation for the lipid phases of rotationally symmetric two-phase bilayer membranes and rigorously derive its -limit. In particular, we prove that limit vesicles are 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.
Keywords
Cite
@article{arxiv.1603.05231,
title = {Convergence of an approximation for rotationally symmetric two-phase lipid bilayer membranes},
author = {Michael Helmers},
journal= {arXiv preprint arXiv:1603.05231},
year = {2016}
}