On linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods

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dc.creatorZheligovsky, V.
dc.date2005-12-30
dc.date.accessioned2026-07-07T06:56:00Z
dc.date.available2026-07-07T06:56:00Z
dc.descriptionI 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).
dc.description16 pp., 1 Figure. In Russian
dc.identifierhttps://arxiv.org/abs/nlin/0512076
dc.identifierhttp://arxiv.org/abs/nlin/0512076
dc.identifierZheligovsky 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.)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106471
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.titleOn linear stability of steady space-periodic magnetohydrodynamic systems to perturbations involving large periods
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