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2011, Volume 2011: 717-726. Doi: 10.3934/proc.2011.2011.717 open access
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Motion of polygonal curved fronts by crystalline motion: v-shaped solutions and eventual monotonicity

  • 1.

    Shibaura Institute of Technology, Fukasaku 309, Minuma-ku, Saitama, 337-8570

Received:  May 2010
Revised:  July 2011
Published:  August 2017
Abstract Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 34A34, 39A12, 74N05, ; Secondary: 53A04, 34A26.

    Citation:
    shu

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