Abstract
There are many theories of turbulence but they all fall into two categories: Probabilistic and deterministic. In one kind of probabilistic theory one deals with an ensemble of flows, dependent on a random field of some kind. The task for the theorist is:
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a)
To prove that the variables of physical interest — velocity, pressure, density — have expected values.
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b)
To derive laws governing the evolution of these expected values. These laws will involve expected values of functions of velocity, pressure, density and of their translates.
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c)
To find approximations to the exact equations of evolution, accurate enough for engineering purposes, under conditions that can be ascertained, which involve only a finite number of variables.
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© 1991 Kluwer Academic Publishers
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Lax, P.D. (1991). Deterministic Turbulence. In: Spigler, R. (eds) Applied and Industrial Mathematics. Mathematics and Its Applications, vol 56. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1908-2_6
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DOI: https://doi.org/10.1007/978-94-009-1908-2_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7351-6
Online ISBN: 978-94-009-1908-2
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