Skip to main content
Log in

Stability of the differential rotation of stars

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

The difference in rotation laws between top and bottom of the solar convection zone as revealed by helioseismology may result from an instability switched on near the bottom. The conclusion results from the analysis of the differential rotation stability. The instability is sensitive to both differential rotation magnitude and details of the latitudinal profile of the angular velocity. It can be active in subadiabatically stratified fluids only. The instability does not develop in the bulk of convection zone but may switch-on in the region of penetrative convection near its base. The growth rates and symmetry types of most rapidly growing disturbances in dependence on the differential rotation parameters are computed.

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.

Similar content being viewed by others

References

  1. P. A. Gilman, Astron. Nachr. 326, 208 (2005).

    Article  ADS  Google Scholar 

  2. J. Papaloizou and J. E. Pringle, Mon. Not. R. Astron. Soc. 182, 423 (1978).

    MATH  ADS  Google Scholar 

  3. A. L. Watts, N. Anderson, H. Beyer, and B. F. Schutz, Mon. Not. R. Astron. Soc. 342, 1156 (2003).

    Article  ADS  Google Scholar 

  4. M. Watson, Geophys. Astrophys. Fluid Dyn. 16, 285 (1981).

    Article  MATH  ADS  Google Scholar 

  5. W. Dziembowski and A. G. Kosovichev, Acta Astron. 37, 341 (1987).

    ADS  Google Scholar 

  6. P. Charbonneau, M. Dikpati, and P. A. Gilman, Astrophys. J. 526, 523 (1999).

    Article  ADS  Google Scholar 

  7. R. Howard, J. M. Adkins, J. E. Boyden, et al., Solar Phys. 83, 321 (1983).

    Article  ADS  Google Scholar 

  8. L. L. Kitchatinov, Astron. Zh. 85, 279 (2008) [Astron. Rep. 52, 247 (2008)].

    Google Scholar 

  9. L. L. Kitchatinov and G. Rüdiger, Astron. Astrophys. 478, 1 (2008).

    Article  MATH  ADS  Google Scholar 

  10. G. Rüdiger and L. L. Kitchatinov, Astrophys. J. 466, 1078 (1996).

    Article  ADS  Google Scholar 

  11. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 622.

    MATH  Google Scholar 

  12. M. S. Longuet-Higgins, Proc. R. Soc. London, Ser. A 279, 446 (1964).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © L.L. Kitchatinov, 2010, published in Astronomicheskiĭ Zhurnal, 2010, Vol. 87, No. 1, pp. 3–7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kitchatinov, L.L. Stability of the differential rotation of stars. Astron. Rep. 54, 1–5 (2010). https://doi.org/10.1134/S1063772910010014

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772910010014

Keywords

Navigation