On obstacle problem for mean curvature flow with driving force

2018/10/04 by Giga, Yoshikazu, Tran, Hung V., Zhang, Longjie
#35A01 #35A02 #35K55 #53C44 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.03456

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.

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