Archive for Rational Mechanics and Analysis

, Volume 6, Issue 1, pp 382–398 | Cite as

Self-superposable magnetohydrodynamic motions

  • Richard R. Gold
Article
Received:

Keywords

Neural Network Complex System Nonlinear Dynamics Electromagnetism 
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References

  1. [1]
    Gold, Richard R., & M. Z. v. Krzywoblocki: On superposability and selfsuperposability conditions for hydrodynamic equations based on continuum. I. J. reine angew. Mathematik 199, H. 3/4, 139–164 (1958).Google Scholar
  2. [2]
    Gold, Richard R., & M. Z. v. Krzywoblocki: On superposability and selfsuperposability conditions for hydrodynamic equations based on continuum. II. J. reine angew. Mathematik 200, H. 3/4, 140–169 (1958).Google Scholar
  3. [3]
    Strang, J. A.: Superposable fluid motions. Ankara Université, Faculté des Sciences, Comm. 1, 1–32 (1948).Google Scholar
  4. [4]
    Cowling, T. G.: Magnetohydrodynamics. New York: Interscience Publishers, Inc. 1957.Google Scholar
  5. [5]
    Elsasser, W. M.: Hydromagnetic dynamo theory. Rev. of Modern Physics 28, No. 2, 135–136 (1956).Google Scholar
  6. [6]
    Sears, W. R.: Magnetohydrodynamic effects in aerodynamic flows. J. Aero-Space Sci. 29, No. 6, 397–406 (1959).Google Scholar
  7. [7]
    Kapur, J. N.: Superposability in Magnetohydrodynamics. Appl. Sci. Res., Sect. A 8.Google Scholar
  8. [8]
    Chandrasekhar, S.: On force-free magnetic fields. Proc. National Acad. Sci. 42, No. 1, 1 (1956).Google Scholar
  9. [9]
    Chandrasekhar, S., & K. Prendergast: The equilibrium of magnetic stars. Proc. National Acad. Sci. 42, No. 1, 5 (1956).Google Scholar
  10. [10]
    Taylor, G. I.: On the decay of vortices in a viscous fluid. Phil. Mag. 46, 671–674 (1923).Google Scholar
  11. [11]
    Ratib Berker: Sur Quelques Cas d'Intégration des Équations du Mouvement d'un Fluide Visqueux Incompressible. Thesis, University of Lille, France, 1936.Google Scholar
  12. [12]
    Chandrasekhar, S.: Axisymmetric magnetic fields and fluid motions. Astrophysical J. 124, No. 1, 232–243 (1956).Google Scholar
  13. [13]
    ibid. Chandrasekhar, S.: Axisymmetric magnetic fields and fluid motions. Astrophysical J. 124, No. 1, (1956). pp. 244–265.Google Scholar
  14. [14]
    Pao, S.: Astrophysical J. 124, pp. 266–271.Google Scholar
  15. [15]
    Truesdell, C., & R. Toupin: The Classical Field Theories. Handbuch der Physik, Vol. 3, Part I. Berlin-Göttingen-Heidelberg: Springer 1960. See §§ App. 34, 112, 114.Google Scholar

Copyright information

© Springer-Verlag 1960

Authors and Affiliations

  • Richard R. Gold
    • 1
  1. 1.Engineering DivisionHughes Aircraft CompanyCulver City

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