TY - JOUR
T1 - Motion of polygonal curved fronts by crystalline motion
T2 - V-shaped solutions and eventual monotonicity
AU - Ishiwata, Tetsuya
PY - 2011/9/1
Y1 - 2011/9/1
N2 - This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.
AB - This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.
KW - Eventual monotonicity
KW - Motion by crystalline curvature
KW - Polygonal curves
UR - http://www.scopus.com/inward/record.url?scp=84878179332&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878179332&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84878179332
SN - 1078-0947
SP - 717
EP - 726
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
IS - SUPPL.
ER -