On the stability ofm-fold circles and the dynamics of generalized curve shortening flows-Reference-Cited by-同舟云学术

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On the stability ofm-fold circles and the dynamics of generalized curve shortening flows

Published:2013-06 Issue:1 Volume:402 Page:57-70
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Cortissoz Jean C.,Murcia Alexander

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. The normalized curve shortening flow and homothetic solutions;Abresch;J. Differential Geom.,1986

2. Evolving convex curves;Andrews;Calc. Var. Partial Differential Equations,1998

3. Classification of limiting shapes for isotropic curve flows;Andrews;J. Amer. Math. Soc.,2003

4. Theory of Ordinary Differential Equations;Coddington,1955

5. On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions;Cortissoz;Arch. Math. (Basel),2011

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability of geometric flows on the circle;Annali di Matematica Pura ed Applicata (1923 -);2019-08-24

2. On the rate of convergence of the p-curve shortening flow;Nonlinear Differential Equations and Applications NoDEA;2017-07-05

3. Evolution of highly symmetric curves under the shrinking curvature flow;Mathematical Methods in the Applied Sciences;2016-12-09

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