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February 2006 Traveling Curved Fronts of Anisotropic Curvature Flows
Yoshiko Marutani, Hirokazu Ninomiya, Rémi Weidenfeld
Japan J. Indust. Appl. Math. 23(1): 83-104 (February 2006).


In this paper, the anisotropic curvature flows with driving force are considered. The existence of traveling curved fronts is shown by constructing supersolutions and subsolutions. By the advantage of this method, their global stability is also proved. In the last section the profiles of the traveling fronts are discussed when the anisotropy becomes strong and converges to a non-smooth function.


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Yoshiko Marutani. Hirokazu Ninomiya. Rémi Weidenfeld. "Traveling Curved Fronts of Anisotropic Curvature Flows." Japan J. Indust. Appl. Math. 23 (1) 83 - 104, February 2006.


Published: February 2006
First available in Project Euclid: 19 June 2006

zbMATH: 1101.35040
MathSciNet: MR2210298

Keywords: Anisotropy , curvature flow , Traveling wave

Rights: Copyright © 2006 The Japan Society for Industrial and Applied Mathematics

Vol.23 • No. 1 • February 2006
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