Group analysis of the membrane shape equation
Soft Condensed Matter
2017-08-23 v1
Abstract
A system of PDE describing bilayers amphiphilic membranes is studied by Lie group analysis. This algorithmic approach allows us to show all the symmetries of the system, to determine all possible symmetry reductions, to recover the axisymmetric solutions, obtained by other euristic methods, and finally to address the question of new similarity solutions.
Cite
@article{arxiv.cond-mat/0201044,
title = {Group analysis of the membrane shape equation},
author = {Giovanni De Matteis},
journal= {arXiv preprint arXiv:cond-mat/0201044},
year = {2017}
}
Comments
28 pages, LaTex