ملخص
We study the stability of a perfectly conducting body in a magnetostatic equilibrium. The body is immersed in a fluid which is threaded by a three-dimensional magnetic field. The fluid may be perfectly conducting, non-conducting or have finite conductivity. We generalise the classical stability criterion of Bernstein et al. (Proc. Roy. Soc. London Ser. A 244 (1958) 17-40; I.B. Bernstein, The variational principle for problems of ideal magnetohydrodynamic stability, in: A.A. Galeev, R.N. Sudan (Eds.), Basic Plasma Physics: Selected Chapters, North-Holland, Amsterdam, 1989, pp. 199-227) and show that the body is stable to small isomagnetic perturbations if and only if the magnetic energy has a minimum at the equilibrium. For an equilibrium of a body in potential magnetic field, we obtain a sufficient condition for genuine nonlinear stability.
اللغة الأصلية | English |
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الصفحات (من إلى) | 511-523 |
عدد الصفحات | 13 |
دورية | European Journal of Mechanics, B/Fluids |
مستوى الصوت | 22 |
رقم الإصدار | 5 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - سبتمبر 2003 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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- ???subjectarea.asjc.3100.3100???