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1959
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R. Pinte et al., « Sur les oscillations radiales et la stabilité d'un plasma cylindrique », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1959.67748
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We consider a homogeneous cylindrical completely ionized plasma in equilibrium under the effect of its own gravity and in the presence of a longitudinal uniform magnetic field BP. The vacuum surrounding the plasma is supposed to be pervaded by a longitudinal uniform magnetic field Bv and by a toroidal magnetic field caused by a sheet current flowing on the surface of the plasma. With the classical hypothesis of magnetohydrodynamics — scalar pressure, infinite electrical conductivity, adiabatic changes — we discuss the dynamical stability of this equilibrium with respect to infinitely small radial perturbations. Application to the so-called pinch effect is obtained by neglecting gravitation in the general results.