Hyperbolic flow by mean curvature

摘要

A hyperbolic flow by mean curvature equaiotn, v_t＋γv=k, for the evoluiton of interfaces is stuided. here v, k and v_t are the normal velocity, curvatue and normal acceleration of the itnerface. A crysalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shpae appears to rotate druing the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.