Global transversal stability of Euclidean planes under skew mean curvature flow evolutions
Analysis of PDEs
2021-01-01 v3
Abstract
In this paper, we prove that 2 dimensional transversal small perturbations of d-dimensional Euclidean planes under the skew mean curvature flow lead to global solutions which converge to the unperturbed planes in suitable norms. And we clarify the long time behaviors of the solutions in Sobolev spaces.
Keywords
Cite
@article{arxiv.2007.07007,
title = {Global transversal stability of Euclidean planes under skew mean curvature flow evolutions},
author = {Ze Li},
journal= {arXiv preprint arXiv:2007.07007},
year = {2021}
}
Comments
Revised version. We acknowledge the reviewers for their insightful comments