Hokkaido University Preprint Series in Mathematics
In this paper, we study an obstacle problem associated with the mean curvatureﬂow with constant driving force. Our ﬁrst main result concerns interior and boundary regularityof the solution. We then study in details the large time behavior of the solution and obtainthe convergence result. In particular, we give full characterization of the limiting proﬁles in theradially symmetric setting.