Wave turbulence

Alan C Newell, Benno Rumpf

Research output: Contribution to journalArticle

114 Citations (Scopus)

Abstract

In this article, we state and review the premises on which a successful asymptotic closure of the moment equations of wave turbulence is based, describe how and why this closure obtains, and examine the nature of solutions of the kinetic equation. We discuss obstacles that limit the theory's validity and suggest how the theory might then be modified. We also compare the experimental evidence with the theory's predictions in a range of applications. Finally, and most importantly, we suggest open challenges and encourage the reader to apply and explore wave turbulence with confidence. The narrative is terse but, we hope, delivered at a speed more akin to the crisp pace of a Hemingway story than the wordjumblingtumbling rate of a Joycean novel.

Original languageEnglish (US)
Pages (from-to)59-78
Number of pages20
JournalAnnual Review of Fluid Mechanics
Volume43
DOIs
StatePublished - Jan 21 2011

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closures
turbulence
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kinetic equations
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Keywords

  • experimental evidence
  • Kolmogorov-Zakharov spectra
  • natural statistical closures

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Wave turbulence. / Newell, Alan C; Rumpf, Benno.

In: Annual Review of Fluid Mechanics, Vol. 43, 21.01.2011, p. 59-78.

Research output: Contribution to journalArticle

Newell, Alan C ; Rumpf, Benno. / Wave turbulence. In: Annual Review of Fluid Mechanics. 2011 ; Vol. 43. pp. 59-78.
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