Journal of Crystal Growth 198/199 (1999) 1256—1261 Hyperbolic ßow by mean curvature

A hyperbolic ßow by mean curvature equation, l t #cv"i, for the evolution of interfaces is studied. Here v, i and l t are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numer