Semidispersive wave systems

Alan C. Newell, P. J. Aucoin

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

The statistical initial-value problem for a class of weakly coupled waves whose linear dispersion relation is Ω ∞ ± |k| is examined. It is found that in two and higher dimensions a natural asymptotic closure is possible. The redistribution of energy is achieved by means of two mechanisms; the first by a resonance between collinear wave vectors; the second by a local transfer between adjacent rays. The entropy functional is ∫ log n(k) dk and corresponds to particles obeying Bose–Einstein statistics.

Original languageEnglish (US)
Pages (from-to)593-609
Number of pages17
JournalJournal of Fluid Mechanics
Volume49
Issue number3
DOIs
StatePublished - Oct 15 1971
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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