Abstract.
We consider the behaviour of convex curves undergoing curvature-driven motion. In particular we describe the long-term behaviour of solutions and properties of limiting shapes, and prove existence of unique solutions from singular or non-strictly convex initial curves, with sharp regularity estimates.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received May 21, 1997 / Accepted December 5, 1997
Rights and permissions
About this article
Cite this article
Andrews, B. Evolving convex curves . Calc Var 7, 315–371 (1998). https://doi.org/10.1007/s005260050111
Issue Date:
DOI: https://doi.org/10.1007/s005260050111