scholarly journals On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

2011 ◽  
Vol 4 (4) ◽  
pp. 865-873 ◽  
Author(s):  
Tetsuya Ishiwata ◽  
Keyword(s):  
Curvature Flow ◽  
Polygonal Curves ◽  
Asymptotic Lines ◽  
Crystalline Curvature ◽  
Bulk Effect

scholarly journals Two examples of nonconvex self-similar solution curves for a crystalline curvature flow

2004 ◽  
Vol 80 (8) ◽  
pp. 151-154 ◽  
Author(s):  
Tetsuya Ishiwata ◽  
Takeo K. Ushijima ◽  
Hiroki Yagisita ◽  
Shigetoshi Yazaki
Keyword(s):  
Curvature Flow ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Self Similar ◽  
Crystalline Curvature

NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW

2007 ◽  
Vol 17 (08) ◽  
pp. 1307-1315
Author(s):  
MATTEO NOVAGA ◽  
MAURIZIO PAOLINI
Keyword(s):  
Curvature Flow ◽  
Wulff Shape ◽  
Crystalline Curvature

We discuss some examples of nonuniqueness for the crystalline curvature flow, when the Wulff shape is a square not centered at the origin.

scholarly journals Crystalline curvature flow of planar networks

2006 ◽  
pp. 481-521 ◽  
Author(s):  
Giovanni Bellettini ◽  
M. Chermisi ◽  
Matteo Novaga
Keyword(s):  
Curvature Flow ◽  
Crystalline Curvature ◽  
Planar Networks
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