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The affine curve-lengthening flow

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Authors

Andrews, Benjamin

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Walter de Gruyter

Abstract

The motion of any smooth closed convex curve in the plane in the direction of steepest increase of its affine arc length can be continued smoothly for all time. The evolving curve remains strictly convex while expanding to infinite size and approaching a

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Journal fur Reine und Angewandte Mathematik

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Open Access

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Restricted until

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