On the isoperimetric inequality and surface diffusion flow for multiply winding curves
Differential Geometry
2021-01-20 v1 Analysis of PDEs
Abstract
In this paper we establish a general form of the isoperimetric inequality for immersed closed curves (possibly non-convex) in the plane under rotational symmetry. As an application we obtain a global existence result for the surface diffusion flow, providing that an initial curve is -close to a multiply covered circle and sufficiently rotationally symmetric.
Cite
@article{arxiv.1909.08816,
title = {On the isoperimetric inequality and surface diffusion flow for multiply winding curves},
author = {Tatsuya Miura and Shinya Okabe},
journal= {arXiv preprint arXiv:1909.08816},
year = {2021}
}
Comments
17 pages