Skip to main content
Log in

Homogenization of the stationary stokes system in a perforated domain with a mixed condition on the boundary of cavities

  • Partial Differential Equations
  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Slezkin, N.A.,Dinamika vyazkoi neszhimaemoi zhidkosti (Dynamics of a Viscous Incompressible Fluid), Moscow, 1955.

  2. Polubarinova-Kochina, P.Ya.,Teoriya dvizheniya gruntovykh vod (Theory of Motion of Soil Water), Moscow, 1977.

  3. Tartar, L., Appendix to [16].

  4. Zhikov, V.V.,Dokl. RAN, 1995, vol. 335, no. 2, pp. 144–147.

    Google Scholar 

  5. Beliaev, A.Yu. and Kozlov, S.M.,CPAM, 1996, vol. 49, no. 1, pp. 1–35.

    MathSciNet  Google Scholar 

  6. Belyaev, A.Yu. and Effendiev, Ya.R.,Mat. Zametki, 1996, vol. 59, no. 4, pp. 504–520.

    Google Scholar 

  7. Lipton, R. and Avellaneda, M.,Proc. of the Royal Soc. of Edinburgh, 1990, vol. 114A, pp. 71–79.

    MathSciNet  Google Scholar 

  8. Allaire, G.,Arch. Rational Mech. Anal., 1991, vol. 113, pp. 209–298.

    Article  MATH  MathSciNet  Google Scholar 

  9. Allaire, G.,Comm. Pure Appl. Math., 1991, vol. 44, pp. 605–641.

    Article  MATH  MathSciNet  Google Scholar 

  10. Sandrakov, G.V.,Izv. RAN. Ser. Mat, 1997, vol. 61, no. 1, pp. 113–140.

    MATH  MathSciNet  Google Scholar 

  11. Ladyzhenskaya, O.A.,Matematicheskie voprosy vyazkoi neszhimaemoi zhidkosti (Mathematical Problems for a Viscous Incompressible Fluid), Moscow, 1970.

  12. 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.

  13. Temam, R.,Navier-Stokes Equations. Theory and Numerical Analysis, Amsterdam, 1977. Translated under the titleUravneniya Nav’e-Stoksa, Moscow: Mir, 1981.

  14. Zhikov, V.V., Kozlov, S.M., and Oleinik, O.A.,Usrednenie differentsial’nykh operatorov (Homogenization of Differential Operators), Moscow, 1993.

  15. Bakhvalov, N.S. and Panasenko, G.P.,Osrednenie protsessov v periodicheskikh sredakh (Homogenization of Processes in Periodic Media), Moscow, 1984.

  16. Sanchez-Palencia, E.,Inhomogeneous Media and Vibration Theory, Berlin: Springer, 1980. Translated under the titleNeodnorodnye sredy i teoriya kolebanii, Moscow, 1984.

  17. Bogovskii, M.E.,Dokl. Akad. Nauk SSSR, 1979, vol. 248, no. 5, pp. 1037–1040.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02754235

Keywords

Navigation