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arXiv · 1911.02964

Small deformations of spherical biomembranes

Charles M. Elliott·Luke Hatcher·Philip J. Herbert
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Abstract

In this contribution to the proceedings of the 11th Mathematical Society of Japan (MSJ) Seasonal Institute (July 2018) we give an overview of some recent work on a mathematical model for small deformations of a spherical membrane. The idea is to consider perturbations to minimisers of a surface geometric energy. The model is obtained from consideration of second order approximations to a perturbed energy. In particular, the considered problems involve particle constraints and surface phase field energies.

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Charles M. Elliott, Luke Hatcher, Philip J. Herbert. 2019-11-07. Small deformations of spherical biomembranes. https://doi.org/10.2969/aspm%2F08510039

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