On obstacle problem for mean curvature flow with driving force
Analysis of PDEs
2018-10-09 v1 Dynamical Systems
Abstract
In this paper, we study an obstacle problem associated with the mean curvature flow with constant driving force. Our first main result concerns interior and boundary regularity of the solution. We then study in details the large time behavior of the solution and obtain the convergence result. In particular, we give full characterization of the limiting profiles in the radially symmetric setting.
Cite
@article{arxiv.1810.03456,
title = {On obstacle problem for mean curvature flow with driving force},
author = {Yoshikazu Giga and Hung V. Tran and Longjie Zhang},
journal= {arXiv preprint arXiv:1810.03456},
year = {2018}
}