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Editorial: Scaling the Turbulence Edifice (part 2).

Jérémie Bec1,2, Giorgio Krstulovic3, Takeshi Matsumoto4

  • 1Université Côte d'Azur, INRIA, CNRS, CEMEF, Sophia-Antipolis, France.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
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PubMed
Summary
This summary is machine-generated.

This special issue explores the convergence of mathematics and physics to understand turbulence. It honors Uriel Frisch, a key figure in turbulence research, highlighting interdisciplinary approaches to complex fluid dynamics problems.

Keywords:
closure modelsinviscid limitmixingturbulence

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Area of Science:

  • Fluid Dynamics
  • Mathematical Physics

Background:

  • Turbulence remains a fundamental challenge in physics and mathematics.
  • A growing interdisciplinary approach is emerging to address complex turbulence phenomena.
  • This work is part of a special issue dedicated to Uriel Frisch, a pioneer in turbulence research.

Purpose of the Study:

  • To highlight the convergence of mathematical and physical approaches to understanding turbulence.
  • To recognize and encourage further interdisciplinary collaboration in turbulence research.
  • To contribute to the ongoing effort of 'Scaling the turbulence edifice'.

Main Methods:

  • This article is part of a theme issue, implying a collection of related research rather than a single experimental method.
  • The focus is on theoretical and mathematical frameworks applied to turbulence.
  • Draws upon the legacy of the Nice School of Turbulence.

Main Results:

  • The abstract does not detail specific results but focuses on the convergence of fields.
  • It emphasizes the importance of synthesizing mathematical rigor with physical intuition.
  • The collection aims to advance the understanding of turbulence through collaborative efforts.

Conclusions:

  • The interdisciplinary synthesis of mathematics and physics is crucial for tackling the problem of turbulence.
  • Continued collaboration is essential for making progress in this field.
  • The work honors Uriel Frisch's significant contributions to turbulence theory.