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Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

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Abstract

The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes “almost convex” before the extinction time.

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Correspondence to Tetsuya Ishiwata.

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Ishiwata, T. Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Japan J. Indust. Appl. Math. 25, 233 (2008). https://doi.org/10.1007/BF03167521

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  • DOI: https://doi.org/10.1007/BF03167521

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