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VOL. 85 | 2020 Small deformations of spherical biomembranes
Charles M. Elliott, Luke Hatcher, Philip J. Herbert

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

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.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510039

Subjects:
Primary: 35Q80
Secondary: 65M60, 92BXX

Rights: Copyright © 2020 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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