Skip to main content
Log in

On asymptotic expansion in time of the solution to the initial-boundary value problem in a semispace for the equations of the dynamics of a compressible viscous fluid

  • Published:
Siberian Mathematical Journal 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. A. V. Glushko and S. O. Rybakov, “Localization theorems for the problem of the dynamics of a rotating viscous compressible fluid,” Sib. Mat. Zh.,33, No. 1, 32–43 (1992).

    Google Scholar 

  2. A. V. Glushko and S. O. Rybakov, “On the Dirichlet problem in a semispace for the system of the equations of motion of a viscous compressible fluid,” in: Boundary Value Problems for Partial Differential Equations, Proceedings of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR [in Russian], No. 1, 35–55 (1990).

  3. V. N. Maslennikova and A. V. Glushko, “Tauberian type localization theorems and the damping velocity of the solution to the system of the hydrodynamics of a viscous compressible fluid,” Tr. Mat. Inst. im. V. A. Steklova AN SSSR,181, 156–186 (1988).

    Google Scholar 

  4. A. V. Glushko, “Asymptotic behavior in time of the solution to the Cauchy problem for linearized system of Navier-Stokes equations with vanishing right-hand side,” in: Cubage Formulas Theory and Applications to Functional Analysis, Proceedings of the Institute of Mathematics, Siberian Section, Academy of Sciences of the USSR [in Russian], No. 1, 5–33 (1981).

  5. S. O. Rybakov, “Localization principle and exact asymptotic behavior in time of the solution to the initial boundary value problem for linearized system of dynamics,” Dissertation, Candidate of Phys. Mat. Sciences [in Russian], Voronezh (1988).

  6. M. V. Fedoryuk, The Saddle-Point Method [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  7. G. E. Shilov, Mathematical Analysis: Second Special Course [in Russian], Nauka, Moscow (1985).

    Google Scholar 

Download references

Authors

Additional information

Voronezh. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 4, pp. 42–58, July–August, 1992.

Translated by T. N. Rozhkovskaya

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glushko, A.V., Rybakov, S.O. On asymptotic expansion in time of the solution to the initial-boundary value problem in a semispace for the equations of the dynamics of a compressible viscous fluid. Sib Math J 33, 581–596 (1992). https://doi.org/10.1007/BF00971123

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971123

Keywords

Navigation