Regularity and Convergence of Crystalline Motion

We consider the motion of polygons by crystalline curvature. We show that "smooth" polygon evolves by crystalline curvature "smoothly" and that it shrinks to a point in finite time. We also establish the convergence of crystalline motion to the motion by mean curvature.

Bibliographische Detailangaben

Veröffentlicht in:	SIAM journal on mathematical analysis 1998, Vol.30 (1), p.19-37
Hauptverfasser:	Ishii, Katsuyuki, Soner, Halil Mete
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Energy Phase transitions Polygons Viscosity
Online-Zugang:	Volltext
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