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.
Author(s): Vladislav Zheligovsky (auth.)
Series: Lecture Notes in Physics 829
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 330
Tags: Geophysics/Geodesy;Classical Continuum Physics;Mathematical Applications in Earth Sciences;Atoms and Molecules in Strong Fields, Laser Matter Interaction;Plasma Physics;Mathematical Methods in Physics
Front Matter....Pages i-xxi
Introduction....Pages 1-13
Large-Scale Passive Scalar Transport....Pages 15-23
Steady-Flow Dynamos....Pages 25-60
Time-Periodic Large-Scale Magnetic Dynamos....Pages 61-92
Convective Plan Form Dynamos in a Layer....Pages 93-114
Linear Stability of Steady MHD States to Large-Scale Perturbations....Pages 115-134
Weakly Nonlinear Stability of MHD Regimes to Large-Scale Perturbations....Pages 135-159
Weakly Nonlinear Stability of Forced Thermal Hydromagnetic Convection....Pages 161-217
Weakly Nonlinear Stability of Free Thermal Hydromagnetic Convection....Pages 219-241
Magnetic Field Generation by a Two-Scale Flow in an Axisymmetric Volume....Pages 243-275
Magnetic Field Generation by a Two-Scale Flow in a Sphere....Pages 277-295
Concluding Remarks....Pages 297-301
Back Matter....Pages 303-330
