Mixing in simple models for turbulent diffusion

Esteban G. Tabak, Fabio A. Tal

Research output: Contribution to journalArticle

Abstract

Simple turbulent diffusive models are proposed as conceptual tools for exploring scenarios involving mixing of stratified flows. Applications include the dynamics of the ocean's top mixed layer, shear instability, breaking internal waves, and turbulent stirring of sharp interfaces. A novel measure of mixing is developed, based on arguments from statistical physics. It is shown that, under turbulent diffusion, this measure grows, and that there are strong indications that, under stirring, flows tend to settle down at a maximum of this measure, subject to global dynamical constraints.

Original languageEnglish (US)
Pages (from-to)563-589
Number of pages27
JournalCommunications on Pure and Applied Mathematics
Volume57
Issue number5
DOIs
StatePublished - May 2004

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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