Semidispersive wave systems

Alan C Newell, P. J. Aucoin

Research output: Contribution to journalArticle

44 Citations (Scopus)

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

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Initial value problems
boundary value problems
closures
rays
Entropy
Statistics
statistics
entropy
energy

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Semidispersive wave systems. / Newell, Alan C; Aucoin, P. J.

In: Journal of Fluid Mechanics, Vol. 49, No. 3, 15.10.1971, p. 593-609.

Research output: Contribution to journalArticle

Newell, Alan C ; Aucoin, P. J. / Semidispersive wave systems. In: Journal of Fluid Mechanics. 1971 ; Vol. 49, No. 3. pp. 593-609.
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