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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 4, Pages 708–722
(Mi zvmmf9239)
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Archimedes law under bifurcations of solution and partial averaging of phenomenological variables
V. V. Larchenko Don State Technical University, Gagarina pl. 1, Rostov-on-Don, 344010 Russia
Abstract:
A model of the convective flow of viscous fluid is proposed with regard to possible finite “fluctuations” of thermophysical characteristics in a neighborhood of branch points. A method for the analysis of the influence of averaging on the values of phenomenological variables for the secondary flow and exact bounds on these values are calculated.
Key words:
ramification equation, symplectic group, Godunov's orthogonal successive substitution method, secondary flow, flow of viscous fluid.
Received: 04.03.2009 Revised: 03.10.2010
Citation:
V. V. Larchenko, “Archimedes law under bifurcations of solution and partial averaging of phenomenological variables”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 708–722; Comput. Math. Math. Phys., 51:4 (2011), 661–675
Linking options:
https://www.mathnet.ru/eng/zvmmf9239 https://www.mathnet.ru/eng/zvmmf/v51/i4/p708
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