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

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 ($p\ge 1$ an integer).

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