Evolving convex curves (original) (raw)

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.

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Authors and Affiliations

1. Mathematics Department, Stanford University, Stanford CA 94305, USA , , , , , , US
   Ben Andrews

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Received May 21, 1997 / Accepted December 5, 1997

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Andrews, B. Evolving convex curves .Calc Var 7, 315–371 (1998). https://doi.org/10.1007/s005260050111

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• Issue date: November 1998
• DOI: https://doi.org/10.1007/s005260050111