Large-Scale Perturbations of Magnetohydrodynamic Regimes: Linear and Weakly Nonlinear Stability Theory

ISBN-13: 9783642181696 / Angielski / Miękka / 2011 / 330 str.

Vladislav Zheligovsky

Opis

Hydrodynamical dynamo theory has been spurred by recent developments. The emphasis in the present volume is on the introduction of powerful mathematical techniques required to tackle modern multiscale analysis of continous systems and their application.

Spis treści

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.

Blurb

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.