Calculus of Variations and Geometric Measure Theory

A. Cesaroni - M. Novaga

Long-time behavior of the mean curvature flow with periodic forcing

created by novaga on 12 Oct 2011
modified on 02 Jan 2018


Published Paper

Inserted: 12 oct 2011
Last Updated: 2 jan 2018

Journal: Comm. Partial Differential Equations
Volume: 38
Number: 5
Pages: 780-801
Year: 2013

ArXiv: 1110.2702 PDF


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.