Motion of non-convex polygon by crystalline curvature flow and its generalization

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The motion of polygons by crystalline curvature is discussed. We also mention the "convexity phenomena" and show examples of non-existence of non-convex self-similar solutions.

Original languageEnglish
Title of host publicationRecent Advances in Nonlinear Analysis
PublisherWorld Scientific Publishing Co.
Pages125-134
Number of pages10
ISBN (Electronic)9789812709257
ISBN (Print)981270924X, 9789812709240
DOIs
Publication statusPublished - 2008 Jan 1
Externally publishedYes

Fingerprint

convexity
polygons
curvature

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

Cite this

Ishiwata, T. (2008). Motion of non-convex polygon by crystalline curvature flow and its generalization. In Recent Advances in Nonlinear Analysis (pp. 125-134). World Scientific Publishing Co.. https://doi.org/10.1142/9789812709257_0008

Motion of non-convex polygon by crystalline curvature flow and its generalization. / Ishiwata, Tetsuya.

Recent Advances in Nonlinear Analysis. World Scientific Publishing Co., 2008. p. 125-134.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ishiwata, T 2008, Motion of non-convex polygon by crystalline curvature flow and its generalization. in Recent Advances in Nonlinear Analysis. World Scientific Publishing Co., pp. 125-134. https://doi.org/10.1142/9789812709257_0008
Ishiwata T. Motion of non-convex polygon by crystalline curvature flow and its generalization. In Recent Advances in Nonlinear Analysis. World Scientific Publishing Co. 2008. p. 125-134 https://doi.org/10.1142/9789812709257_0008
Ishiwata, Tetsuya. / Motion of non-convex polygon by crystalline curvature flow and its generalization. Recent Advances in Nonlinear Analysis. World Scientific Publishing Co., 2008. pp. 125-134
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