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This article is cited in 6 scientific papers (total in 6 papers)
The rate of convergence of approximations for the closure of the Friedman–Keller chain in the case of large Reynolds numbers
A. V. Fursikova, O. Yu. Imanuvilovb a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow State Forest University
Abstract:
The infinite chain of Friedman–Keller equations is studied that describes the evolution of the entire set of moments of a statistical solution of an abstract analogue of the Navier–Stokes system. The problem of closure of this chain is investigated. This problem consists in constructing a sequence of problems $\mathfrak{A}_N=0$ of $N$ unknown functions whose solutions $M^N=(M_1^N,\dots,M_N^N,0,0,\dots)$ approximate the system of moments $M=(M_1,\dots,M_k,\dots)$ as $N\to+\infty$. The case of large Reynolds numbers is considered. Exponential rate of convergence of $~M^N$ to $M$ as $N\to\infty$ is proved.
Received: 24.03.1993
Citation:
A. V. Fursikov, O. Yu. Imanuvilov, “The rate of convergence of approximations for the closure of the Friedman–Keller chain in the case of large Reynolds numbers”, Russian Acad. Sci. Sb. Math., 81:1 (1995), 235–259
Linking options:
https://www.mathnet.ru/eng/sm882https://doi.org/10.1070/SM1995v081n01ABEH003623 https://www.mathnet.ru/eng/sm/v185/i2/p115
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Abstract page: | 504 | Russian version PDF: | 166 | English version PDF: | 11 | References: | 64 | First page: | 1 |
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