A crystalline motion of spiral-shaped curves with symmetry

Authors
Imai, H Ishimura, N Ushijima, T
Citation
H. Imai et al., A crystalline motion of spiral-shaped curves with symmetry, J MATH ANAL, 240(1), 1999, pp. 115-127
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
240
Issue
1
Year of publication
1999
Pages
115 - 127
Database
ISI
SICI code
0022-247X(199912)240:1<115:ACMOSC>2.0.ZU;2-S
Abstract
We study the evolution of spiral-shaped polygonal curves by crystalline cur vature. Crystalline curvature is known to extend the notion of ordinary cur vature to the special class of nonsmooth curves. With the assumption of sym metry, we show that the motion of our spirals can be analyzed up to the res t state, possibly beyond singularities, (C) 1999 Academic Press.