Remarks on anomalous dissipation for passive scalars

We consider the problem of anomalous dissipation for passive scalars advected by an incompressible flow. We review known results on anomalous dissipation from the point of view of the analysis of partial differential equations, and present simple rigorous examples of scalars that admit a Batchelor-type energy spectrum and exhibit anomalous dissipation in the limit of zero scalar diffusivity. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.

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Work Title Remarks on anomalous dissipation for passive scalars
Access
Open Access
Creators
  1. A. L. Mazzucato
Keyword
  1. Passive scalars
  2. Anomalous dissipation
  3. Mixing
  4. Batchelor spectrum
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publication Date January 17, 2022
Publisher Identifier (DOI)
  1. https://doi.org/10.1098/rsta.2021.0099
Deposited July 19, 2022

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Version 1
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  • Created

    July 19, 2022 17:17 by Researcher Metadata Database

  • Added 10338806.pdf

    July 19, 2022 17:17 by Researcher Metadata Database

  • Added Creator A. L. Mazzucato

    July 19, 2022 17:17 by Researcher Metadata Database

  • Published

    July 19, 2022 17:17 by Researcher Metadata Database

  • Updated Keyword, Publication Date Show Changes

    January 10, 2024 14:02 by avs5190

    Keyword
    • Passive scalars, Anomalous dissipation, Mixing, Batchelor spectrum
    Publication Date
    • 2022-03-07
    • 2022-01-17
  • Updated

    April 04, 2024 10:21 by [unknown user]