Volume 780 2009

Lectures in Magnetohydrodynamics

With an Appendix on Extended MHD

Authors:

ISBN: 978-3-642-00687-6 (Print) 978-3-642-00688-3 (Online)

Table of contents (40 chapters)

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  1. Front Matter

    Pages i-xiii

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    Book Chapter

    Pages 1-4

    Introduction

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    Pages 5-18

    Review of Scalars, Vectors, Tensors, and Dyads

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    Pages 19-24

    Mass Conservation and the Equation of Continuity

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    Pages 25-29

    The Equation of Motion

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    Pages 31-33

    Energy Flow

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    Pages 35-38

    The Electromagnetic Field

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    Pages 39-42

    Closures

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    Pages 43-47

    Conservation Laws

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    Pages 49-53

    Ideal MHD and the Frozen Flux Theorem

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    Pages 55-64

    Resistivity and Viscosity

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    Pages 65-69

    Similarity Scaling

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    Pages 71-76

    The Wöltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross-Helicity

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    Pages 77-83

    Reduced MHD

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    Pages 85-89

    Equilibrium: General Considerations— The Virial Theorem

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    Pages 91-98

    Simple MHD Equilibria

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    Pages 99-101

    Poloidal Beta, Paramagnetism, and Diamagnetism

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    Pages 103-105

    “Force-Free” Fields

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    Pages 107-120

    Toroidal Equilibrium; The Grad–Shafranov Equation

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    Pages 121-128

    Behavior of Small Displacements in Ideal MHD

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    Book Chapter

    Pages 129-131

    Linearized Equations and the Ideal MHD Force Operator

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