Hyperbolic inverse mean curvature flow with forced term: evolution of
plane curves
Abstract
The motion of plane curves specified by hyperbolic inverse mean
curvature with a constant force term is considered. We proved that this
flow remains the convexity for any forced term. Furthermore, we give an
example to understand how the constant forced term $c$ affects this
hyperbolic inverse mean flow. Particularly, the asymptotic behavior of
the flow under different initial conditions is discussed.