Motion of polygonal curved fronts by crystalline motion

V-shaped solutions and eventual monotonicity

Research output: Contribution to journalArticle

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

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Crystalline materials

Keywords

  • Eventual monotonicity
  • Motion by crystalline curvature
  • Polygonal curves

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

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title = "Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity",
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.",
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