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

Tetsuya Ishiwata; Shigetoshi Yazaki

doi:10.1016/S0377-0427(03)00556-9

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

Tetsuya Ishiwata, Shigetoshi Yazaki

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	55-64
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	159
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(03)00556-9
Publication status	Published - 2003 Oct 1
Externally published	Yes

Keywords

Blow-up rate
Crystalline curvature
Crystalline motion
Degenerate pinching
Finite difference operator

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0377-0427(03)00556-9

Cite this

@article{afe73cf7451e433cb4cca24f2d743750,

title = "On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion",

abstract = "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.",

keywords = "Blow-up rate, Crystalline curvature, Crystalline motion, Degenerate pinching, Finite difference operator",

author = "Tetsuya Ishiwata and Shigetoshi Yazaki",

year = "2003",

month = oct,

day = "1",

doi = "10.1016/S0377-0427(03)00556-9",

language = "English",

volume = "159",

pages = "55--64",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "1",

}

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

SN - 0377-0427

VL - 159

SP - 55

EP - 64

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this