Skip to main content
SpringerLink
Log in

Transient growth and optimal perturbations with the simplest dynamic model as an example

  • Physics
  • Published:
Doklady Physics 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. D. S. Henningson, L. N. Gustavsson, and K. S. Breuer, Appl. Sci. Res. 53, 51 (1994).

    Article  ADS  Google Scholar 

  2. F. Waleffe, Phys. Fluids 9, 883 (1997).

    Article  ADS  Google Scholar 

  3. S. A. Orszag, J. Fluid Mech. 50, 689 (1971).

    ADS  MATH  Google Scholar 

  4. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Nauka, Moscow, 1986; Pergamon Press, Oxford, 1987).

    Google Scholar 

  5. S. C. Reddy, P. J. Schmid, J. S. Baggett, et al., Fluid Mech. 365, 269 (1988).

    ADS  MathSciNet  Google Scholar 

  6. L. N. Trefethen, A. E. Trefethen, S. Reddy, et al., Science 261, 578 (1993).

    ADS  MathSciNet  Google Scholar 

  7. K. M. Butler and B. F. Farrel, Phys. Fluids A 4, 1637 (1992).

    Article  ADS  Google Scholar 

  8. B. F. Farrel and P. J. Ioannou, Phys. Fluids A 5, 1390 (1992).

    ADS  Google Scholar 

  9. B. F. Farrel, Phys. Fluids 31, 2093 (1998).

    ADS  Google Scholar 

  10. P. Goldreich and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 130(2/3), 125 (1965).

    ADS  Google Scholar 

  11. A. M. Fridman, Pis’ma Astron. Zh. 15(6), 1122 (1989) [Sov. Astron. Lett. 15 (6), 487 (1989)].

    ADS  Google Scholar 

  12. D. G. Lominadze, G. D. Chagelishvili, and R. G. Chanishvili, Pis’ma Astron. Zh. 14, 856 (1988) [Sov. Astron. Lett. 14, 364 (1988)].

    ADS  Google Scholar 

  13. W. M. Orr, Proc. R. Ir. Acad. (A) 27, 9 (1907).

    MATH  Google Scholar 

  14. M. T. Landahl, J. Fluid Mech. 28, 735 (1975).

    MATH  Google Scholar 

  15. T. Ellingsen and E. Palm, Phys. Fluids 18, 487 (1975).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Solar-Terrestrial Physics, Siberian Division, Russian Academy of Sciences, P. O. Box 4026, Irkutsk, 664033, Russia

    I. G. Shukhman

Authors
  1. I. G. Shukhman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Doklady Akademii Nauk, Vol. 402, No. 6, 2005, pp. 759–761.

Original Russian Text Copyright © 2005 by Shukhman.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shukhman, I.G. Transient growth and optimal perturbations with the simplest dynamic model as an example. Dokl. Phys. 50, 308–310 (2005). https://doi.org/10.1134/1.1958122

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1958122

Keywords

Search

Navigation