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Doklady Mathematics

, Volume 76, Issue 2, pp 744–749 | Cite as

Branch points of eigenvalues of the Orr-Sommerfeld operator

  • S. L. Skorokhodov
Mathematics

Keywords

Reynolds Number Branch Point Recurrence Equation Imaginary Axis DOKLADY Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    P. G. Drazin, Introduction to Hydrodynamic Stability (Cambridge Univ. Press, Cambridge, 2002; Fizmatlit, Moscow, 2005).zbMATHGoogle Scholar
  2. 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. 3.
    V. I. Zhuk, Tollmien-Schlichting Waves and Solitons (Nauka, Moscow, 2001) [in Russian].Google Scholar
  4. 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).zbMATHMathSciNetGoogle Scholar
  5. 5.
    A. A. Shkalikov, Sovrem. Mat. Fundam. Napravl. 3, 89–112 (2003).Google Scholar
  6. 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. 7.
    S. A. Orszag, J. Fluid Mech. 50, Part 4, 689–703 (1971).zbMATHCrossRefGoogle Scholar
  8. 8.
    A. A. Abramov and V. I. Ul’yanova, Zh. Vychisl. Mat. Mat. Fiz. 32, 567–575 (1992).MathSciNetGoogle Scholar
  9. 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. 10.
    J. Wimp and D. Zeilberger, J. Math. Anal. Appl. 111, 162–176 (1985).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Dorodnicyn Computing CenterRussian Academy of SciencesMoscowRussia

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