A Variational Approach to Particles in Lipid Membranes
Analysis of PDEs
2016-06-29 v2
Abstract
A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a variational framework, relate apparently different modelling approaches in terms of successive approximation, and investigate existence and uniqueness. Numerical computations illustrate that the new variational formulations are directly accessible to effective numerical methods.
Keywords
Cite
@article{arxiv.1512.02375,
title = {A Variational Approach to Particles in Lipid Membranes},
author = {Charles M. Elliott and Carsten Gräser and Graham Hobbs and Ralf Kornhuber and Maren-Wanda Wolf},
journal= {arXiv preprint arXiv:1512.02375},
year = {2016}
}