Expanding convex immersed closed plane curves
Journal
Calculus of Variations and Partial Differential Equations
Journal Volume
34
Journal Issue
2
Pages
153-178
Date Issued
2009
Author(s)
Abstract
We study the evolution driven by curvature of a given convex immersed closed plane curve. We show that it will converge to a self-similar solution eventually. This self-similar solution may or may not contain singularities. In case it does, we also have estimate on the curvature blow-up rate. © 2008 Springer-Verlag.
SDGs
Type
journal article