Mean curvature flow with positive random forcing in 2-d
Analysis of PDEs
2019-11-04 v1
Abstract
We consider the forced mean curvature flow in 2-d, finite range of dependence and positive random forcing. We prove flatness and existence of effective speed for initially flat propagating fronts. This is the analogue, in random media, of a result of Caffarelli and Monneau. The main new tools are a large scale Lipschitz estimate for the arrival time function, and a quantitative uniqueness result which does not use uniform local regularity.
Cite
@article{arxiv.1911.00488,
title = {Mean curvature flow with positive random forcing in 2-d},
author = {William M Feldman},
journal= {arXiv preprint arXiv:1911.00488},
year = {2019}
}
Comments
26 pages