抄録
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.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 55-64 |
| ページ数 | 10 |
| ジャーナル | Journal of Computational and Applied Mathematics |
| 巻 | 159 |
| 発行部数 | 1 |
| DOI | |
| 出版物ステータス | Published - 2003 10 1 |
| 外部発表 | Yes |
Fingerprint
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
これを引用
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. / Ishiwata, Tetsuya; Yazaki, Shigetoshi.
：: Journal of Computational and Applied Mathematics, 巻 159, 番号 1, 01.10.2003, p. 55-64.研究成果: Article
}
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
UR - http://www.scopus.com/inward/record.url?scp=0141782294&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0141782294&partnerID=8YFLogxK
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 -