On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

Tetsuya Ishiwata

doi:10.3934/dcdss.2011.4.865

On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

Tetsuya Ishiwata

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.

Original language	English
Pages (from-to)	865-873
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	4
Issue number	4
DOIs	https://doi.org/10.3934/dcdss.2011.4.865
Publication status	Published - 2011 Aug 1

Keywords

Crystalline curvature
Crystalline motion
Eventual monotonicity

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.3934/dcdss.2011.4.865

Fingerprint Dive into the research topics of 'On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect'. Together they form a unique fingerprint.

Cite this

Ishiwata, T. (2011). On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Discrete and Continuous Dynamical Systems - Series S, 4(4), 865-873. https://doi.org/10.3934/dcdss.2011.4.865

@article{0245d380dc284d7aad15444893ca2c16,

title = "On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect",

abstract = "The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.",

keywords = "Crystalline curvature, Crystalline motion, Eventual monotonicity",

author = "Tetsuya Ishiwata",

year = "2011",

month = aug,

day = "1",

doi = "10.3934/dcdss.2011.4.865",

language = "English",

volume = "4",

pages = "865--873",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

AU - Ishiwata, Tetsuya

PY - 2011/8/1

Y1 - 2011/8/1

N2 - The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.

AB - The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.

KW - Crystalline curvature

KW - Crystalline motion

KW - Eventual monotonicity

UR - http://www.scopus.com/inward/record.url?scp=84864479518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864479518&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2011.4.865

DO - 10.3934/dcdss.2011.4.865

M3 - Article

AN - SCOPUS:84864479518

VL - 4

SP - 865

EP - 873

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

SN - 1937-1632

IS - 4

ER -