Titlebook: Large-Scale Perturbations of Magnetohydrodynamic Regimes; Linear and Weakly No Vladislav Zheligovsky Book 2011 Springer-Verlag Berlin Heide

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0075-8450 contributions..New developments for hydrodynamical dynamo theory have been spurred by recent evidence of self-sustained dynamo activity in laboratory experiments with liquid metals..The emphasis in the present volume is on the introduction of powerful mathematical techniques required to tackle moder

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Large-Scale Passive Scalar Transport,presents the simplest “real-life” example, which can be used for the introduction of the notions and asymptotic techniques employed in the analysis of MHD multiscale systems. The material of this chapter is inspired by the papers [1, 2].

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Weakly Nonlinear Stability of MHD Regimes to Large-Scale Perturbations,ld equations for the perturbations averaged over small scales, in which the large-scale dynamics of the mean perturbations is uncoupled from the evolution of their short-scale component, and which might be used for the study of the evolution of the perturbations at subsequent stages, when nonlinearity sets in.

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Magnetic Field Generation by a Two-Scale Flow in an Axisymmetric Volume,fast variable, proportional to the azimuthal coordinate. The amplitude of the flow is supposed to grow as . where . is the scale ratio of the fast and slow variables and . is integer (in order to uphold geometric compatibility).

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Weakly Nonlinear Stability of Free Thermal Hydromagnetic Convection,ction is free, i.e., no external forces act in the layer of fluid or on its boundaries (except for the buoyancy, Coriolis and Lorentz forces), and no external sources of heat or magnetic field are present in the fluid.

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