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A minimizing movements approach for crystalline eikonal-curvature flows of spirals

Takeshi Ohtsuka, Yen-Hsi Richard Tsai

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Source: Crossref

Published: Jun 5, 2025

DOI: 10.4171/ifb/547

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Source abstract

We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movements approach and relies on a special level set method for embedding the spirals. We present numerical simulations and comparisons demonstrating the efficacy of the proposed numerical algorithm.

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A minimizing movements approach for crystalline eikonal-curvature flows of spirals — Mathematical Frontier Network