TY - JOUR
T1 - On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect
AU - Ishiwata, Tetsuya
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2011/8
Y1 - 2011/8
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
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U2 - 10.3934/dcdss.2011.4.865
DO - 10.3934/dcdss.2011.4.865
M3 - Article
AN - SCOPUS:84864479518
SN - 1937-1632
VL - 4
SP - 865
EP - 873
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 4
ER -