References
Slezkin, N.A.,Dinamika vyazkoi neszhimaemoi zhidkosti (Dynamics of a Viscous Incompressible Fluid), Moscow, 1955.
Polubarinova-Kochina, P.Ya.,Teoriya dvizheniya gruntovykh vod (Theory of Motion of Soil Water), Moscow, 1977.
Tartar, L., Appendix to [16].
Zhikov, V.V.,Dokl. RAN, 1995, vol. 335, no. 2, pp. 144–147.
Beliaev, A.Yu. and Kozlov, S.M.,CPAM, 1996, vol. 49, no. 1, pp. 1–35.
Belyaev, A.Yu. and Effendiev, Ya.R.,Mat. Zametki, 1996, vol. 59, no. 4, pp. 504–520.
Lipton, R. and Avellaneda, M.,Proc. of the Royal Soc. of Edinburgh, 1990, vol. 114A, pp. 71–79.
Allaire, G.,Arch. Rational Mech. Anal., 1991, vol. 113, pp. 209–298.
Allaire, G.,Comm. Pure Appl. Math., 1991, vol. 44, pp. 605–641.
Sandrakov, G.V.,Izv. RAN. Ser. Mat, 1997, vol. 61, no. 1, pp. 113–140.
Ladyzhenskaya, O.A.,Matematicheskie voprosy vyazkoi neszhimaemoi zhidkosti (Mathematical Problems for a Viscous Incompressible Fluid), Moscow, 1970.
Oleinik, O.A., Iosif’yan, G.A., and Shamaev, A.S.,Matematicheskie zadachi teorii sil’no neodnorodnykh sred (Mathematical Problems of the Theory of Strongly Inhomogeneous Media), Moscow, 1990.
Temam, R.,Navier-Stokes Equations. Theory and Numerical Analysis, Amsterdam, 1977. Translated under the titleUravneniya Nav’e-Stoksa, Moscow: Mir, 1981.
Zhikov, V.V., Kozlov, S.M., and Oleinik, O.A.,Usrednenie differentsial’nykh operatorov (Homogenization of Differential Operators), Moscow, 1993.
Bakhvalov, N.S. and Panasenko, G.P.,Osrednenie protsessov v periodicheskikh sredakh (Homogenization of Processes in Periodic Media), Moscow, 1984.
Sanchez-Palencia, E.,Inhomogeneous Media and Vibration Theory, Berlin: Springer, 1980. Translated under the titleNeodnorodnye sredy i teoriya kolebanii, Moscow, 1984.
Bogovskii, M.E.,Dokl. Akad. Nauk SSSR, 1979, vol. 248, no. 5, pp. 1037–1040.
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Pastukhova, S.E. Homogenization of the stationary stokes system in a perforated domain with a mixed condition on the boundary of cavities. Diff Equat 36, 755–766 (2000). https://doi.org/10.1007/BF02754235
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DOI: https://doi.org/10.1007/BF02754235