Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Gage, R. Hamilton (1986)
The heat equation shrinking convex plane curvesJournal of Differential Geometry, 23
(1976)
Differentiae Geometry of Curves and Surfaces, Prentice-Hall, Inc
K. Chou, Xiping Zhu (2001)
The Curve Shortening Problem
Shengliang Pan, Juanna Yang (2008)
On a non-local perimeter-preserving curve evolution problem for convex plane curvesmanuscripta mathematica, 127
Laiyuan Gao, Dong-Ho Tsai (2016)
On a Third Order Flow of Convex Closed Plane CurvesTaiwanese Journal of Mathematics, 20
B. Andrews (2002)
Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvatureCommunications in Analysis and Geometry, 10
Mark Green, S. Osher (1999)
Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curvesAsian Journal of Mathematics, 3
B. Andrews (1998)
Evolving convex curvesCalculus of Variations and Partial Differential Equations, 7
Yu Lin, Dong-Ho Tsai (2009)
Evolving a convex closed curve to another one via a length-preserving linear flowJournal of Differential Equations, 247
B Andrews (1998)
Evolving convex curvesCal. Var. & PDEs, 7
Dong-Ho Tsai (2004)
Blowup behavior of an equation arising from plane-curves expansionDifferential and Integral Equations
B. Chow, Dong-Ho Tsai (1996)
Geometric expansion of convex plane curvesJournal of Differential Geometry, 44
S. Angenent (1991)
On the formation of singularities in the curve shortening flowJournal of Differential Geometry, 33
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.
Journal of Evolution Equations – Springer Journals
Published: Jun 16, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.