Methods in Magneto-Hydrodynamic Stability Theory

  • E. K. Maschke
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 349)


In the first part of the lectures, an introduction into the theory of magneto-hydrodynamic (MHD) stability of magnetically confined plasmas will be given, and some typical instabilities will be discussed. In the second part, a general representation of MHD in terms of stream functions and potentials will be presented. The vector equations of MHD are transformed into a system of scalar equations, which are extremely useful as they allow the physical interpretation of various terms in relation with particular instabilities. Approximations leading to simplified (“reduced”) MHD equations are discussed. In the last part of the lectures, an example of bifurcation of solutions of nonlinear reduced equations is presented.


Rayleigh Number Scalar Representation Kink Mode Kink Instability Toroidal Plasma 
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Copyright information

© Springer-Verlag Wien 1994

Authors and Affiliations

  • E. K. Maschke
    • 1
  1. 1.Association EURATOM-CEA sur la FusionD.R.F.C., Centre de CadaracheSaint-Paul-lez-DuranceFrance

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