Large-scale perturbations of magnetohydrodynamic regimes : linear and weakly nonlinear stability theory / Vladislav Zheligovsky.

Format:

Book

Author/Creator:

Zheligovsky, Vladislav.

Series:

Lecture notes in physics ; 829.

Lecture notes in physics, 0075-8450 ; v. 829

Language:

English

Subjects (All):

Magnetohydrodynamics.

Stability.

Perturbation (Quantum dynamics).

Physical Description:

1 online resource (XXI, 330 p. 17 illus.)

Edition:

1st ed. 2011.

Place of Publication:

Berlin : Springer, 2011.

Language Note:

English

Summary:

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 continuous 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.

Contents:

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.

Notes:

Includes index.

ISBN:

9783642181702

3642181708