Dept. Math, Hokkaido Univ. EPrints Server

Facet bending in the driven crystalline curvature flow in the plane

Preprint Series # 763
Giga, Yoshikazu and Rybka, Piotr Facet bending in the driven crystalline curvature flow in the plane. (2005);

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Abstract

We study simple cases of crystalline driven curvature flow with spatially nonuniform driving force term. We assume special monotonicity properties of the driving term, which are motivated by our previous work on Berg's effect. We show that initially flat facets, if loosely speaking they are to large, then they begin to bend.

Item Type:Preprint
Subjects:53-xx DIFFERENTIAL GEOMETRY
35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1256