Mean curvature flow with a constant forcing

作者:Liu Zuhan*
来源:Nodea-Nonlinear Differential Equations and Applications, 2013, 20(3): 621-649.
DOI:10.1007/s00030-012-0171-4

摘要

In this paper, the motion of surface by its mean curvature and a forcing term theta was studied. We show that to each uniformly convex bounded initial surface M (0), there exists a unique theta (*) such that the surface shrinks or expands depending on whether theta < theta (*) or theta > theta (*). Also, we show that the surface with theta = theta (*) converges to a limiting surface.

全文