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
Keywords:
Canham-Helfrich
,
embedded proteins
,
phase field
,
Phase separation
,
point constraints
,
spherical biomembranes
Rights: Copyright © 2020 Mathematical Society of Japan
