Symmetry Breaking Bifurcation of Membranes with Boundary
Differential Geometry
2022-06-23 v1 Analysis of PDEs
Abstract
We use a bifurcation theory due to Crandall and Rabinowitz to show the existence of a symmetry breaking bifurcation of a specific one parameter family of axially symmetric disc type solutions of a membrane equation with fixed boundary. In place of working directly with the fourth order membrane equation, it is replaced by a second order reduction found in [16].
Keywords
Cite
@article{arxiv.2206.10971,
title = {Symmetry Breaking Bifurcation of Membranes with Boundary},
author = {Bennett Palmer and Alvaro Pampano},
journal= {arXiv preprint arXiv:2206.10971},
year = {2022}
}