Mean curvature flow with triple junctions in higher space dimensions
Analysis of PDEs
2015-06-05 v1
Abstract
We consider mean curvature flow of n-dimensional surface clusters. At (n-1)-dimensional triple junctions an angle condition is required which in the symmetric case reduces to the well-known 120 degree angle condition. Using a novel parametrization of evolving surface clusters and a new existence and regularity approach for parabolic equations on surface clusters we show local well-posedness by a contraction argument in parabolic Hoelder spaces.
Cite
@article{arxiv.1207.2351,
title = {Mean curvature flow with triple junctions in higher space dimensions},
author = {Daniel Depner and Harald Garcke and Yoshihito Kohsaka},
journal= {arXiv preprint arXiv:1207.2351},
year = {2015}
}
Comments
31 pages, 2 figures