Evolving convex curves

Ben Andrews

doi:10.1007/s005260050111

Evolving convex curves

Ben Andrews

Research output: Contribution to journal › Article › peer-review

148 Citations (Scopus)

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.

Original language	English
Pages (from-to)	315-371
Number of pages	57
Journal	Calculus of Variations and Partial Differential Equations
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s005260050111
Publication status	Published - 1998

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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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language = "English",

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journal = "Calculus of Variations and Partial Differential Equations",

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M3 - Article

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VL - 7

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EP - 371

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

ER -

Evolving convex curves

Abstract

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