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

  • Burkhard J. Schmitt
  • Wolf von Wahl
General Qualitative Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1530)


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  1. [1]
    Backus, G.: A Class of Self-Sustaining Dissipative Spherical Dynamos. Ann. Physics4 (1958), 372–447.ADSMathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    Backus, G.: Poloidal and Toroidal Fields in Geomagnetic Field Modeling. Rev. Geophys.24 (1986), 75–109.ADSMathSciNetCrossRefGoogle Scholar
  3. [3]
    Clever, R.M., Busse, F.H.: Three-dimensional knot convection in a layer heated from below. J. Fluid Mech.198 (1989), 345–363.ADSCrossRefMATHGoogle Scholar
  4. [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.ADSMathSciNetCrossRefMATHGoogle Scholar
  5. [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. [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

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Burkhard J. Schmitt
    • 1
  • Wolf von Wahl
    • 1
  1. 1.Lehrstuhl für Angewandte MathematikUniversität BayreuthBayreuthGermany

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