Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature

Andrews, Benjamin

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Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature

Date

2002

Authors

Andrews, Benjamin

Publisher

International Press

Abstract

We consider curvature-driven evolution equations for curves in the plane, and prove that the isoperimetric ratios of the evolving curves generically approach infinity if the speed of motion is proportional to curvature to a power less than 1/3.

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http://hdl.handle.net/1885/72695

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ANU Research Publications

Source

Communications in Analysis and Geometry

Type

Journal article

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Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature

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