Motion of sets by curvature and derivative of capacity potential
Analysis of PDEs
2017-01-12 v1 Differential Geometry
Abstract
We study a geometric flow where the motion of a set is driven by the mean curvature of its boundary and the normal derivative of its capacity potential. We establish local well-posedness and propose two possible weak formulations that exist after singularities.
Keywords
Cite
@article{arxiv.1701.02837,
title = {Motion of sets by curvature and derivative of capacity potential},
author = {Hui Yu},
journal= {arXiv preprint arXiv:1701.02837},
year = {2017}
}
Comments
37 pages