Hyperbolic flow by mean curvature

Horacio G. Rotstein, Simon Brandon, Amy Novick-Cohen

Research output: Contribution to journalConference articlepeer-review

18 Scopus citations

Abstract

A hyperbolic flow by mean curvature equation, vt + γv = κ, for the evolution of interfaces is studied. Here v, κ and vt are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.

Original languageEnglish (US)
Pages (from-to)1256-1261
Number of pages6
JournalJournal of Crystal Growth
Volume198-199
Issue numberpt 2
DOIs
StatePublished - Mar 1999
Externally publishedYes
EventProceedings of the 1998 10th International Conference on Vapor Growth and Epitaxy and Specialist Workshops on Crystal Growth, ICVGE-10 - Jerusalem, Isr
Duration: Jul 26 1998Jul 31 1998

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Inorganic Chemistry
  • Materials Chemistry

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