Skip to main content
SpringerLink
Log in

Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the boussinesq-equations

  • General Qualitative Theory
  • Conference paper
  • First Online:
Book cover The Navier-Stokes Equations II — Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1530))

This paper is in final form and no similar paper has been or is being submitted elsewhere.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Backus, G.: A Class of Self-Sustaining Dissipative Spherical Dynamos. Ann. Physics4 (1958), 372–447.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Backus, G.: Poloidal and Toroidal Fields in Geomagnetic Field Modeling. Rev. Geophys.24 (1986), 75–109.

    Article  ADS  MathSciNet  Google Scholar 

  3. Clever, R.M., Busse, F.H.: Three-dimensional knot convection in a layer heated from below. J. Fluid Mech.198 (1989), 345–363.

    Article  ADS  MATH  Google Scholar 

  4. Iooss, G.: Théorie Non Linéaire de la Stabilité des Ecoulements Laminaires dans le Cas de “l'Echange des Stabilités”. Arch. Rational Mech. Anal.40 (1971), 166–208.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Joseph, D.D.: Stability of Fluid Motions, Vol. I. Springer Tracts in Natural Philosophy 27. Springer: Berlin, Heidelberg, New York (1976).

    Google Scholar 

  6. Wahl, W. von: The Boussinesq-Equations in Terms of Poloidal and Toroidal Fields and the Mean Flow. Lecture Notes. To appear in Bayreuth. Math. Schr.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Angewandte Mathematik, Universität Bayreuth, P.O. Box 10 12 51, W-8580, Bayreuth, Germany

    Burkhard J. Schmitt & Wolf von Wahl

Authors
  1. Burkhard J. Schmitt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wolf von Wahl
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Schmitt, B.J., von Wahl, W. (1992). Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the boussinesq-equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090349

Download citation

  • DOI: https://doi.org/10.1007/BFb0090349

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56261-0

  • Online ISBN: 978-3-540-47498-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation