References
R. Temam, Navier-Stokes Equations: Theory and Numerical Analysis (North-Holland, Amsterdam, 1977; Mir, Moscow, 1981).
O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow (Nauka, Moscow, 1970) [in Russian].
J. Simon, J. Math. Fluid Mech. 1, 225–234 (1999).
N. S. Bakhvalov and G. P. Panasenko, Homogenization: Averaging Processes in Periodic Media (Nauka, Moscow, 1984; Kluwer, Dordrecht, 1989).
G. V. Sandrakov, Dokl. Math. 66, 241–244 (2002) [Dokl. Akad. Nauk 386, 541–544 (2002)].
G. V. Sandrakov, Preprint No. 178, OVM AN (Department of Numerical Mathematics, USSR Academy of Sciences, Moscow, 1987).
R. Temam and X. Wang, Ann. Scuola Norm. Super. Pisa Cl. Sci. 25, 807–828 (1997).
A. M. Obukhov, Usp. Mat. Nauk 38(4), 101–111 (1983).
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Original Russian Text © G.V. Sandrakov, 2007, published in Doklady Akademii Nauk, 2007, Vol. 413, No. 3, pp. 317–319.
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Sandrakov, G.V. Estimates of solutions to the Navier-Stokes equations with rapidly oscillating data. Dokl. Math. 75, 252–254 (2007). https://doi.org/10.1134/S1064562407020196
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DOI: https://doi.org/10.1134/S1064562407020196