Schnack D.D. Lectures in magnetohydrodynamics: with an appendix on extended MHD. - Berlin; Heidelberg: Springer-Verlag, 2009. - xv, 323 p.: ill. - (Lecture notes in physics; 780). - Bibliogr.: p.317. - Ind.: p.319-323. - ISBN 978-3-642-00687-6; ISSN 0075-8450  Место хранения:   060 | Институт солнечно-земной физики СО РАН | Иркутск | Библиотека

Оглавление / Contents

Lecture 1 Introduction ........................................ 1 Lecture 2 Review of Scalars, Vectors, Tensors, and Dyads ...... 5 Lecture 3 Mass Conservation and the Equation of Continuity ... 19 Lecture 4 The Equation of Motion ............................. 25 Lecture 5 Energy Flow ........................................ 31 Lecture 6 The Electromagnetic Field .......................... 35 Lecture 7 Closures ........................................... 39 Lecture 8 Conservation Laws .................................. 43 Lecture 9 Ideal MHD and the Frozen Flux Theorem .............. 49 Lecture 10 Resistivity and Viscosity .......................... 55 Lecture 11 Similarity Scaling ................................. 65 Lecture 12 The Wöltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross- Helicity ........................................... 71 Lecture 13 Reduced MHD ........................................ 77 Lecture 14 Equilibrium: General Considerations—The Virial Theorem ............................................ 85 Lecture 15 Simple MHD Equilibria .............................. 91 Lecture 16 Poloidal Beta, Paramagnetism, and Diamagnetism ..... 99 Lecture 17 "Force-Free" Fields ............................... 103 Lecture 18 Toroidal Equilibrium; The Grad-Shafranov Equation .......................................... 107 Lecture 19 Behavior of Small Displacements in Ideal MHD ...... 121 Lecture 20 Linearized Equations and the Ideal MHD Force Operator .......................................... 129 Lecture 21 Boundary Conditions for Linearized Ideal MHD ...... 133 Lecture 22 Proof that the Ideal MHD Force Operator is Self- Adjoint ........................................... 137 Lecture 23 Waves in a Uniform Medium: Special Cases .......... 141 Lecture 24 Waves in a Uniform Medium: Arbitrary Angle of Propagation ....................................... 147 Lecture 25 The Calculus of Variations and the Ideal MHD Energy Principle .................................. 153 Lecture 26 Examples of the Application of the Energy Principle ......................................... 159 Lecture 27 The Rayleigh-Ritz Technique for Estimating Eigenvalues ....................................... 167 Lecture 28 The Gravitational Interchange Mode or g-Mode ...... 171 Lecture 29 Comments on the Energy Principle and the Minimizing Eigenfunction .......................... 179 Lecture 30 Examples of the Application of the Energy Principle to Cylindrical Equilibria ............... 183 Lecture 31 A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities ........... 193 Lecture 32 Magnetic Reconnection ............................. 197 Lecture 33 Steady Reconnection: The Sweet-Parker Problem ..... 201 Lecture 34 Resistive Instabilities: The Tearing Mode ......... 205 Lecture 35 Resistive Instabilities: Closing Remarks .......... 213 Lecture 36 Turbulence ........................................ 219 Lecture 37 MHD Relaxation: Magnetic Self-Organization ........ 241 Lecture 38 Dynamos: Magnetic Field Generation and Maintenance ....................................... 261 Appendix ...................................................... 283 Fluid Models of Magnetized Plasmas ............................ 285 Bibliography .................................................. 317 Index ......................................................... 319