On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

Tetsuya Ishiwata, Shigetoshi Yazaki

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of singularity: one is single point extinction and the other is degenerate pinching. We mainly discuss degenerate pinching singularity and show the exact blow-up rate for a fast blow-up solution which arises in an equivalent blow-up problem.

Original languageEnglish
Pages (from-to)55-64
Number of pages10
JournalJournal of Computational and Applied Mathematics
Volume159
Issue number1
DOIs
Publication statusPublished - 2003 Oct 1

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Keywords

  • Blow-up rate
  • Crystalline curvature
  • Crystalline motion
  • Degenerate pinching
  • Finite difference operator

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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