3 papers
math.AP2017
On the rate of convergence of the -curve shortening flow
Jean C. Cortissoz, Andrés Galindo, Alexander Murcia
In this paper we give rates of convergence for the -curve shortening flow for an integer, which improves on the known estimates and which are probably sharp.
math.DG2016
The Ricci flow on a cylinder
Jean Cortissoz, Alexander Murcia
In this paper we study the Ricci flow on surfaces homeomorphic to a cylinder (that is, a product of the circle with a compact interval). We prove longtime existence results, result…
math.AP2012
On the stability of -fold circles and the dynamics of generalized curve shortening flows
Jean Cortissoz, Alexander Murcia
In this paper we study the (asymptotic and exponential) stability of the -fold circle as a solution of the -curve shortening flow ( an integer).