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Statistical Mechanics and Hydrodynamical Turbulence

In: Proceedings of the International Congress of Mathematicians

Author

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  • Raoul Robert

    (Université Lyon 1, CNRS, Laboratoire d’Analyse Numérique)

Abstract

An important progress made in the study of fluid turbulence in the last decades is a clearer understanding of the differences between the two- and three-dimensional cases. The most striking feature of 2D turbulence is the emergence of a large–scale organization of the flow (leading to structures usually called coherent structures), while the energy is conserved. By contrast, in the 3D case energy dissipation actually occurs, and the main experimental observations are the power-law energy spectrum and intermittency effects (the dissipation of energy does not seem to occur homogeneously in space).

Suggested Citation

  • Raoul Robert, 1995. "Statistical Mechanics and Hydrodynamical Turbulence," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 1523-1531, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_149
    DOI: 10.1007/978-3-0348-9078-6_149
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