Skip to main content
Log in

Branch points of eigenvalues of the Orr-Sommerfeld operator

  • Mathematics
  • Published:
Doklady Mathematics 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.

Institutional subscriptions

References

  1. P. G. Drazin, Introduction to Hydrodynamic Stability (Cambridge Univ. Press, Cambridge, 2002; Fizmatlit, Moscow, 2005).

    MATH  Google Scholar 

  2. A. V. Boiko, G. R. Grek, A. V. Dovgal’, and V. V. Kozlov, Physical Mechanisms of Transition to Turbulence in Open Flows (Regular. i Khaotich. Dinamika, Moscow, 2006) [in Russian].

    Google Scholar 

  3. V. I. Zhuk, Tollmien-Schlichting Waves and Solitons (Nauka, Moscow, 2001) [in Russian].

    Google Scholar 

  4. M. I. Neiman-Zade and A. A. Shkalikov, “Calculation of Eigenvalues in the Orr-Sommerfeld Problem,” Fundam. Prikl. Mat. 8(1), 301–305 (2002).

    MATH  MathSciNet  Google Scholar 

  5. A. A. Shkalikov, Sovrem. Mat. Fundam. Napravl. 3, 89–112 (2003).

    Google Scholar 

  6. A. Zharilkasinov, V. D. Liseikin, B. Yu. Skobelev, and N. N. Yanenko, in Numerical Methods in Continuum Mechanics (Inst. Teor. Prikl. Mekh. Sib. Otd. Akad. Nauk SSSR, Novosibirsk, 1983), Vol. 14, No. 5, pp. 45–54 [in Russian].

    Google Scholar 

  7. S. A. Orszag, J. Fluid Mech. 50, Part 4, 689–703 (1971).

    Article  MATH  Google Scholar 

  8. A. A. Abramov and V. I. Ul’yanova, Zh. Vychisl. Mat. Mat. Fiz. 32, 567–575 (1992).

    MathSciNet  Google Scholar 

  9. V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, and V. A. Sadovnichii, Dokl. Math. 63, 355–358 (2001) [Dokl. Akad. Nauk 378, 443–446 (2001)].

    Google Scholar 

  10. J. Wimp and D. Zeilberger, J. Math. Anal. Appl. 111, 162–176 (1985).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. L. Skorokhodov.

Additional information

Original Russian Text © S.L. Skorokhodov, 2007, published in Doklady Akademii Nauk, 2007, Vol. 416, No. 5, pp. 600–605.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Skorokhodov, S.L. Branch points of eigenvalues of the Orr-Sommerfeld operator. Dokl. Math. 76, 744–749 (2007). https://doi.org/10.1134/S1064562407050274

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562407050274

Keywords

Navigation