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Siberian Mathematical Journal

, Volume 33, Issue 4, pp 581–596 | Cite as

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

  • A. V. Glushko
  • S. O. Rybakov
Article
  • 13 Downloads

Keywords

Asymptotic Expansion Viscous Fluid Compressible Viscous Fluid 
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References

  1. 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. 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).Google Scholar
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    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
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    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).Google Scholar
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    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).Google Scholar
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    M. V. Fedoryuk, The Saddle-Point Method [in Russian], Nauka, Moscow (1977).Google Scholar
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    G. E. Shilov, Mathematical Analysis: Second Special Course [in Russian], Nauka, Moscow (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. V. Glushko
  • S. O. Rybakov

There are no affiliations available

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