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Statistical Properties of Turbulence

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Book cover Foundations of Fluid Dynamics

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Abstract

It is now convenient to reexamine some questions of a fundamental nature with the purpose of analysing the possible consequences of Ruelle’s principle introduced in Sect. 5.7. We shall make frequent reference to the general description of motions given in Chap. 5 in a context in which we imagine that the motions are attracted by some attracting set in phase space, which will have zero volume when energy dissipation occurs in the system. The main purpose of this section and of the following ones is to analyse the consequences of Ruelle’s principle, see Sect. 5.7, with particular attention to fluid motions.

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Bibliography

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© 2002 Springer-Verlag Berlin Heidelberg

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Gallavotti, G. (2002). Statistical Properties of Turbulence. In: Foundations of Fluid Dynamics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04670-8_7

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  • DOI: https://doi.org/10.1007/978-3-662-04670-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07468-4

  • Online ISBN: 978-3-662-04670-8

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