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On flows that preserve parallel curves and their formation of singularities

Authors :
Dong-Ho Tsai
Source :
Journal of Evolution Equations. 18:303-321
Publication Year :
2017
Publisher :
Springer Science and Business Media LLC, 2017.

Abstract

We discuss several examples of curvature flows for convex closed plane curves that preserve parallel curves and use this property to find singularities (curvature blow-up) of these flows. A precise curvature blow-up rate is also obtained.

Subjects

Subjects :
Property (philosophy)
Plane curve
010102 general mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Regular polygon
Geometry
Curvature
01 natural sciences
010101 applied mathematics
Mathematics (miscellaneous)
Fundamental theorem of curves
Total curvature
Gravitational singularity
Mathematics::Differential Geometry
0101 mathematics
Mathematics

Details

ISSN :
14243202 and 14243199
Volume :
18
Database :
OpenAIRE
Journal :
Journal of Evolution Equations
Accession number :
edsair.doi...........04b4bfdd3b6b0776822beed75acbc28f
Full Text :
https://doi.org/10.1007/s00028-017-0402-6
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