Hyperbolic non-conserved phase field equations

Horacio Rotstein, Alexander Nepomnyashchy, Amy Novick-Cohen

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

We consider the following hyperbolic system of PDEs which generalize the classical phase field equations with a non-conserved order parameter φ and temperature u: utt + ε2φtt + γ1ut + ε2γ1φt = αΔu, ε2φtt + γ2ε2φt = ε2Δφ + f(φ) + εu for ε≪1. We present the model, derive a law for the evolution of the interface which generalizes the classical flow by mean curvature equation, and analyze the evolution of some simply shaped interfaces.

Original languageEnglish (US)
Pages (from-to)1262-1266
Number of pages5
JournalJournal of Crystal Growth
Volume198-199
Issue numberpt 2
DOIs
StatePublished - Jan 1 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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