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

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Linear Stability of Steady MHD States to Large-Scale Perturbations,fect (the acronym means the anisotropic kinematic α-effect). Its absence is guaranteed only in a single wide class: parity-invariant flows. Stability of such flows is determined by the effect of eddy viscosity.

Awning

Weakly Nonlinear Stability of MHD Regimes to Large-Scale Perturbations,s, were obtained from the equations of magnetohydrodynamics by neglecting the terms, quadratic in perturbations. This procedure is legitimate, when development of perturbations is inspected at an initial stage and their amplitudes are small; when the amplitudes are increasing, the accuracy of descri

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Commonplace

Magnetic Field Generation by a Two-Scale Flow in a Sphere,ide in a spherical region Ω surrounded by a dielectric medium. (Without any loss of generality we assume that Ω is an open ball of a unit radius). This problem is analogous to the one examined in the previous chapter. We will use the general results of that chapter concerning the scale of Sobolev sp

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Steady-Flow Dynamos,r than the small one, is beneficial for magnetic field generation (the concept of eddy diffusion is not yet applicable in this case—such a weak scale separation is outside the region of asymptotic behaviour of magnetic modes).

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