Skip to main content

Codimension Two Local Analysis of Spherical Bénard Convection

  • Chapter
Dynamics, Bifurcation and Symmetry

Part of the book series: NATO ASI Series ((ASIC,volume 437))

Abstract

Bifurcation of planforms in spherical Rayleigh-Bénard convection is studied by direct center manifold reduction of the Boussinesq equations. Codimension two local analysis of the reduced bifurcation equations is then used to classify the symmetry and stability of steady-state patterns near the onset of instability.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon, Oxford, 1961.

    MATH  Google Scholar 

  2. C.G. Chase, Nature 282 464–8.

    Google Scholar 

  3. P. Chossat, R. Lauterbach and I. Melbourne, Arch. Rat. Mech. Anal. 113, 313 1990.

    Article  MathSciNet  Google Scholar 

  4. R. Friedrich and H. Haken, Phys. Rev. A, 34, No. 3 1986.

    Google Scholar 

  5. C. Geiger, Strukturbildung in nichtlinearen dissipativen Systemen mit sphärischer Symmetrie, dissertation 1993.

    Google Scholar 

  6. C. Geiger, G. Dangelmayr, J.D. Rodriguez and W. Güttinger, On a degenerate bifurcation with O3 symmetry, Proc. of the AMS (to appear).

    Google Scholar 

  7. M. Golubitsky, I. Stewart and D.G. Schaeffer, Singularities and Groups in Bifurcation Theory, Vol.11, Springer Verlag, New York, 1988.

    Book  MATH  Google Scholar 

  8. E.N. Parker, Cosmical Magnetic Fields, Clarendon Press, Oxford, 1979.

    Google Scholar 

  9. J.D. Rodriguez, C. Geiger, G. Dangelmayr, and W. Güttinger, Symmetry Breaking Bifurcations in Spherical Benard Convection, Proc. of the AMS (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Rodriguez, J.D., Geiger, C., Dangelmayr, G. (1994). Codimension Two Local Analysis of Spherical Bénard Convection. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_22

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-0956-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4413-4

  • Online ISBN: 978-94-011-0956-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics