TY - JOUR
T1 - On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion
AU - Ishiwata, Tetsuya
AU - Yazaki, Shigetoshi
PY - 2003/10/1
Y1 - 2003/10/1
N2 - 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.
AB - 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.
KW - Blow-up rate
KW - Crystalline curvature
KW - Crystalline motion
KW - Degenerate pinching
KW - Finite difference operator
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U2 - 10.1016/S0377-0427(03)00556-9
DO - 10.1016/S0377-0427(03)00556-9
M3 - Article
AN - SCOPUS:0141782294
VL - 159
SP - 55
EP - 64
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -