TY - BOOK AU - Zheligovsky,Vladislav ED - SpringerLink (Online service) TI - Large-Scale Perturbations of Magnetohydrodynamic Regimes: Linear and Weakly Nonlinear Stability Theory T2 - Lecture Notes in Physics, SN - 9783642181702 AV - QC801-809 U1 - 550 23 PY - 2011/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Geography KW - Physical geography KW - Mathematical geography KW - Mathematical physics KW - Earth Sciences KW - Geophysics/Geodesy KW - Classical Continuum Physics KW - Mathematical Applications in Earth Sciences KW - Atoms and Molecules in Strong Fields, Laser Matter Interaction KW - Plasma Physics KW - Mathematical Methods in Physics N1 - Introduction -- Large-scale Passive Scalar Transport -- Steady-flow Dynamos -- Time-periodic Flow Dynamos -- Convective Plan-form Dynamos in a Layer -- Linear Stability of Steady MHD States to Large-scale Perturbations -- Weakly Nonlinear Stability of MHD Regimes -- Forced Hydromagnetic Thermal Convection: Weakly Nonlinear Stability to Large-scale Perturbation -- Free Hydromagnetic Thermal Convection: Weakly Nonlinear Stability to Large-scale Perturbations -- Magnetic Field Generation by Large-amplitude Flows With an Internal Scale in an Axisymmetric Volume. One Azimuthal Fast Variable -- Magnetic Field Generation by Large-amplitude Flows With an Internal Scale in a Sphere. Three Fast Variables -- General Conclusions and Perspectives -- References -- Appendix. Regimes of Free Hydromagnetic Thermal Convection, Symmetric About a Vertical Axis N2 - 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 modern multiscale analysis of continous systems and there application to a number of realistic model geometries of increasing complexity. This introductory and self-contained research monograph summarizes the theoretical state-of-the-art to which the author has made pioneering contributions UR - http://dx.doi.org/10.1007/978-3-642-18170-2 ER -