Skip to main content
SpringerLink
Log in

Behavior of rapidly decreasing asymptotic solutions of linearized navier-stokes equations t→∞

  • Published:
Mathematical Notes 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

References

  1. S. Yu. Dobrokhotov and A. I. Shafarevich, “Parametrics and asymptotics of localized solutions of Navier-Stokes equations in ℝ3, linearized on a smooth flow,”Mat. Zametki,51, No. 1, 72–82 (1992).

    Google Scholar 

  2. M. Vishik and S. Freidlakder, “Instability criteria for the flow of an inviscid incompressible fluid,”Phys. Rev. Lett,66, No. 17, 2204–2206.

  3. B. J. Bayly, “Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flow,”Phys. Fluids,31, 56–64 (1988).

    Article  Google Scholar 

  4. S. Yu. Dobrokhotov and A. I. Shafarevich, “Some asymptotic solutions of linearized Navier-Stokes equations,”Mat. Zametki,53, No. 3, 25–35 (1993).

    Google Scholar 

  5. J. W. S. Rayleigh,Proc. R. Soc. London, Ser. A,93, No. 148 (1916).

    Google Scholar 

  6. S. Yu. Dobrokhotov, “Application of the Maslov theory to two problems for equations with operator-valued symbols,”Usp. Mat. Nauk,39, No. 4, 125 (1984).

    Google Scholar 

  7. V. S. Buslaev, “Adiabatic perturbation of a periodic potential,”Tear. Mat. Fiz.,58, No. 2, 233–243 (1984).

    Google Scholar 

  8. S. A. Lomov,Introduction to the General Theory of Singular Perturbations [in Russian], Nauka, Moscow (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, USSR

    A. I. Shafarevich

Authors
  1. A. I. Shafarevich
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by the Russian Foundation for Fundamental Research under Grant No. 93-013-17702.

Translated from Matematicheskie Zametki, Vol. 55, No. 6, pp. 124–145, June, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shafarevich, A.I. Behavior of rapidly decreasing asymptotic solutions of linearized navier-stokes equations t→∞. Math Notes 55, 632–647 (1994). https://doi.org/10.1007/BF02110360

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02110360

Keywords

Search

Navigation