On linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods
Abstract
Description
I construct a complete asymptotic expansion of solutions to the problem of linear stability of three-dimensional steady space-periodic magnetohydrodynamic states to perturbations involving large periods. Eddy diffusivity tensor is derived for parity-invariant steady states. I present numerical evidences that if perturbations of the flow are permitted, then the effect of negative eddy diffusivity emerges at much larger magnetic molecular diffusivities than in the kinematic dynamo problem (where no perturbations of the flow are assumed).
16 pp., 1 Figure. In Russian
16 pp., 1 Figure. In Russian
Keywords
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/nlin/0512076
http://arxiv.org/abs/nlin/0512076
Zheligovsky V.A. On the linear stability of steady space-periodicmagnetohydrodynamic systems to large-scale perturbations. Fizika Zemli, (5), 65-74, 2003. (English translation: Zheligovsky V.A. On the linear stability of spatially periodic steadymagnetohydrodynamic systems with respect to long-period perturbations. Izvestiya, Physics of the Solid Earth, 39 (5), 2003, 409-418.)
http://arxiv.org/abs/nlin/0512076
Zheligovsky V.A. On the linear stability of steady space-periodicmagnetohydrodynamic systems to large-scale perturbations. Fizika Zemli, (5), 65-74, 2003. (English translation: Zheligovsky V.A. On the linear stability of spatially periodic steadymagnetohydrodynamic systems with respect to long-period perturbations. Izvestiya, Physics of the Solid Earth, 39 (5), 2003, 409-418.)