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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 1974 Volume 29, Issue 2(176), Pages 282–313 (Mi rm4370)

This article is cited in 16 papers

Functional approach to turbulence

C. Foias


Abstract: The aim of this article is to give an account of results on the mathematical study of the statistical evolution of solutions of the Navier–Stokes equations (see [6], [7] and especially [8] and [9]) that can serve as a rigorous mathematical basis of the theory of turbulence of a fluid bounded by surfaces. The presentation is in abstract functional language (prompted by [7]).

UDC: 519.9

MSC: 35Q30, 35B30, 76Fxx, 46N20

Received: 21.09.1973


 English version:
Russian Mathematical Surveys, 1974, 29:2, 293–326

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