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

Jean Cortissoz; Alexander Murcia

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

Analysis of PDEs 2012-09-13 v3 Differential Geometry

Authors: Jean Cortissoz , Alexander Murcia

Abstract

In this paper we study the (asymptotic and exponential) stability of the $m$ -fold circle as a solution of the $p$ -curve shortening flow ( $p\geq 1$ an integer).

Keywords

curve shortening flow m-fold circles stability analysis asymptotic stability exponential stability geometric flow

Cite

@article{arxiv.1207.2698,
  title  = {On the stability of $m$-fold circles and the dynamics of generalized curve shortening flows},
  author = {Jean Cortissoz and Alexander Murcia},
  journal= {arXiv preprint arXiv:1207.2698},
  year   = {2012}
}

Comments

13 pages; Comments, suggestions and criticisms more than welcome. some sections have been rewritten and another was added; some notational changes have been made; title has changed

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

Abstract

Keywords

Cite

Comments

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