Skip to main content
SpringerLink
Log in

Generalized solutions of inverse Kolmogorov equation corresponding to stochastic Navier-Stokes system

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. M. I. Vishik, A. I. Komech, and A. V. Fursikov, “Some mathematical problems of statistical hydromechanics,” Usp. Mat. Nauk,34, No. 5, 135–210 (1979).

    Google Scholar 

  2. M. I. Vishik and A. I. Komech, “Infinite-dimensional parabolic equations connected with stochastic partial differential equations,” Dokl. Akad. Nauk SSSR,233, No. 5, 769–772 (1977).

    Google Scholar 

  3. M. I. Vishik and A. I. Komech, “On solvability of Cauchy problem for infinite-dimensional parabolic equations,” Tr. Seminara im. I. G. Petrovskogo,4, 3–31 (1978).

    Google Scholar 

  4. M. I. Vishik and A. I. Komech, “On direct Kolmogorov equation corresponding to stochastic Navier-Stokes system,” in: Complex Analysis and Applications. Celebrating I. N. Vekua's Seventieth Birthday [in Russian], Nauka, Moscow (1978), pp. 126–136.

    Google Scholar 

  5. M. I. Vishik and A. V. Fursikov, Mathematical Problems of Statistical Hydromechanics [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  6. I. I. Gikhman and A. V. Skorokhod, Theory of Random Processes [in Russian], Vol. 1, Nauka, Moscow (1971).

    Google Scholar 

  7. O. A. Ladyzhenskaya, Mathematical Theory of Viscous Incompressible Flow, Gordan and Breach (1969).

  8. J.-L. Lions, Some Methods of Solving Nonlinear Boundary Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  9. G. W. Mackey, Stochastic Integrals [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  10. M. Viot, “Solutions faibles d'équations aux derivées partielles stochastiques nonlinéaires,” Thèse, Paris (1976).

  11. I. I. Gikhman and A. V. Skorokhod, Introduction to Theory of Random Processes [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  12. Yu. L. Daletskii, “Infinite-dimensional elliptic operators and related parabolic equations,” Usp. Mat. Nauk,22, No. 4, 3–54 (1967).

    Google Scholar 

  13. N. Dunford and J. T. Schwartz, Linear Operators, Wiley (1958).

  14. W. Rudin, Principles of Mathematical Analysis [Russian translation], Mir, Moscow (1966).

    Google Scholar 

Download references

Authors
  1. M. I. Vishik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Komech
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 8, pp. 86–110, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vishik, M.I., Komech, A.I. Generalized solutions of inverse Kolmogorov equation corresponding to stochastic Navier-Stokes system. J Math Sci 32, 281–300 (1986). https://doi.org/10.1007/BF01106072

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01106072

Keywords

Search

Navigation