Zheligovsky Large-Scale Perturbations of Magnetohydrodynamic Regimes

Linear and Weakly Nonlinear Stability Theory
Erscheinungsjahr 2011
ISBN: 978-3-642-18170-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 829, 330 Seiten, eBook

Reihe: Lecture Notes in Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Zheligovsky, Vladislav

Inhaltsverzeichnis

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.