Skip to main content
SpringerLink
Log in

Two-dimensional model for an αΩ-dynamo with meridional circulation and an associated Hamilton–Jacobi equation

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

A two-dimensional model for an αΩ-dynamo is constructed, taking into account meridional flows. A Hamilton–Jacobi equation for the resulting system of magnetic-field generation equatons is constructed using an asymptotic method analogous to the WKB method. This equation makes it possible to analytically study the influence of meridional flows on the duration of the solar magnetic-activity cycle and the evolution of magnetic waves.

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

Similar content being viewed by others

References

  1. E. N. Parker, Astrophys. J. 122, 293 (1955).

    Article  MathSciNet  ADS  Google Scholar 

  2. R.W. Komm, Solar Phys. 147, 207 (1993).

    Article  ADS  Google Scholar 

  3. J. Zhao, Astrophys. J. 603, 776 (2004).

    Article  ADS  Google Scholar 

  4. I. Tuominen, J. Tuominen, and J. Kyrolainen, Mon. Not. R. Astron. Soc. 205, 691 (1983).

    Article  ADS  Google Scholar 

  5. D. Hathaway and H. Doppler, Astrophys. J. 460, 1027 (1996).

    Article  ADS  Google Scholar 

  6. D. Hathaway, ASP Conf. Ser. 346, 19 (2005).

    ADS  Google Scholar 

  7. E. P. Popova, M. Yu. Reshetnyak, and D. D. Sokolov, Astron. Rep. 52, 157 (2008).

    Article  ADS  Google Scholar 

  8. K. M. Kuzanyan and D. D. Sokoloff, Geophys. Astrophys. Fluid Dyn. 81, 827 (1995).

    Article  MathSciNet  Google Scholar 

  9. F. Krauze and K.-H. Rädler, Mean Field Electrodynamics and Dynamo Theory (Pergamon, Oxford, 1980; Mir, Moscow, 1984).

    MATH  Google Scholar 

  10. V. P. Maslov and M. V. Fedoryuk Quasiclassic Approach for Equations of Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].

    MATH  Google Scholar 

  11. G. M. Belvedere, K. M. Kuzanyan, and D. D. Sokoloff, Mon. Not. R. Astron. Soc. 315, 778 (2000).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. P. Popova

Authors
  1. E. P. Popova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. P. Popova.

Additional information

Original Russian Text © E.P. Popova, 2015, published in Astronomicheskii Zhurnal, 2015, Vol. 92, No. 8, pp. 646–649.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Popova, E.P. Two-dimensional model for an αΩ-dynamo with meridional circulation and an associated Hamilton–Jacobi equation. Astron. Rep. 59, 772–775 (2015). https://doi.org/10.1134/S1063772915080077

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772915080077

Keywords

Search

Navigation