Long-time behavior of the mean curvature flow with periodic forcing
Analysis of PDEs
2011-10-13 v1
Abstract
We consider the long-time behavior of the mean curvature flow in heterogeneous media with periodic fibrations, modeled as an additive driving force. Under appropriate assumptions on the forcing term, we show existence of generalized traveling waves with maximal speed of propagation, and we prove the convergence of solutions to the forced mean curvature flow to these generalized waves.
Keywords
Cite
@article{arxiv.1110.2702,
title = {Long-time behavior of the mean curvature flow with periodic forcing},
author = {Annalisa Cesaroni and Matteo Novaga},
journal= {arXiv preprint arXiv:1110.2702},
year = {2011}
}