Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

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4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)717-726
Number of pages10
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue numberSUPPL.
Publication statusPublished - 2011 Sep 1

Keywords

  • Eventual monotonicity
  • Motion by crystalline curvature
  • Polygonal curves

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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