On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

[摘要] We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of singularity: one is single point extinction and the other is degenerate pinching. We mainly discuss degenerate pinching singularity and show the exact blow-up rate for a fast blow-up solution which arises in an equivalent blow-up problem. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-10-01

[效力级别]  Proceedings Paper

[关键词] crystalline motion;crystalline curvature;finite difference operator;blow-up rate;degenerate pinching