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curvature driven motion; crystalline curvature; spiral growth

References:

[1] Gurtin, M. E.: **Thermomechanics of Evolving Phase Boundaries in the Plane**. Oxford Mathematical Monographs Clarendon Press, Oxford (1993). MR 1402243 | Zbl 0787.73004

[2] Ishiwata, T.: **Motion of non-convex polygons by crystalline curvature and almost convexity phenomena**. Japan J. Ind. Appl. Math. 25 (2008), 233-253. DOI 10.1007/BF03167521 | MR 2431681 | Zbl 1155.53033

[3] Ishiwata, T.: **Crystalline motion of spiral-shaped polygonal curves with a tip motion**. Discrete Contin. Dyn. Syst., Ser. S 7 (2014), 53-62. DOI 10.3934/dcdss.2014.7.53 | MR 3082855 | Zbl 1273.82076