Abstract
A formulation of the closure problem for the Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system is given. It consists of constructing a sequence of problems A N(M N) for N unknown functions M N such that their solutions M N = (M N1 ,…, M N N ,0,…) approach the solution M = (M 1,…, M k ,…) of the Friedmann-Keller chain containing infinite unknown functions M k . A rigorous solution of the closure problem for small and for large Reynolds numbers is given.
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Fursikov, A.V. (1999). The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system. In: Gyr, A., Kinzelbach, W., Tsinober, A. (eds) Fundamental Problematic Issues in Turbulence. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8689-5_2
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DOI: https://doi.org/10.1007/978-3-0348-8689-5_2
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