Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-01-05
Physics of the Earth, 2006 (12), 92-108 (Engl. transl. Izvestiya, Physics of the Solid Earth, 42 (12), 2006, 1051-1068)
Nonlinear Sciences
Chaotic Dynamics
Latex, 29 pp. Accepted in Physics of the Earth, 2006 (in Russian). (English translation: Izvestiya, Physics of the Solid Earth
Scientific paper
I consider the problem of weakly nonlinear stability of three-dimensional convective magnetohydrodynamic systems, where there is no alpha-effect or it is insignificant, to perturbations involving large scales. I assume that the convective MHD state (steady or evolutionary), the stability of which I investigate, does not involve large spatio-temporal scales, and it is stable to perturbations involving the same small spatial scales, as the perturbed state. Mean-field equations, which I derive for the perturbation using asymptotic techniques for multiscale systems, are a generalization of the equations of magnetohydrodynamics (the Navier-Stokes and magnetic induction equations). The operator of combined eddy diffusivity emerges, which is in general anisotropic and not necessarily negatively defined, as well as new quadratic terms analogous to the ones describing advection.
No associations
LandOfFree
Weakly nonlinear stability of convective magnetohydrodynamic systems without alpha-effect to perturbations involving large scales does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Weakly nonlinear stability of convective magnetohydrodynamic systems without alpha-effect to perturbations involving large scales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weakly nonlinear stability of convective magnetohydrodynamic systems without alpha-effect to perturbations involving large scales will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-591484