Vladimirov, V.A., Moffatt, H.K., Davidson, P.A. and Ilin, K.I. (2003) On the stability of a rigid body in a magnetostatic equilibrium. European Journal of Mechanics - B/Fluids, 22 (5). pp. 511-523. ISSN 0997-7546
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 26 May 2009 14:59 |
| Last Modified: | 26 May 2009 14:59 |
| Published Version: | http://dx.doi.org/10.1016/j.euromechflu.2003.08.00... |
| Status: | Published |
| Publisher: | Elsevier |
| Identification Number: | 10.1016/j.euromechflu.2003.08.002 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/6159 |
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