Lectures in Magnetohydrodynamics : With an Appendix on Extended MHD

This concise and self-contained primer is based on class-tested notes for an advanced graduate course in MHD. The broad areas chosen for presentation are the derivation and properties of the fundamental equations, equilibrium, waves and instabilities, self-organization, turbulence, and dynamos. The...

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Hlavní autor: Schnack, Dalton D.
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2009.
Edice:Lecture Notes in Physics 780
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Edition sous un autre format:• Lectures in magnetohydrodynamics, with an appendix on extended MHD, D. D. Schnacks, Heidelberg, Springer, 2009, 1 vol. (XV-323 p.), Lecture notes in physics, 978-3-642-00687-6
• Lectures in Magnetohydrodynamics, Texte imprimé, 9783642007477
• Lectures in magnetohydrodynamics, with an appendix on extended MHD, D. D. Schnacks, Heidelberg, Springer, 2009, 1 vol. (XV-323 p.), Lecture notes in physics, 978-3-642-00687-6
• Lectures in Magnetohydrodynamics, Texte imprimé, 9783642269219
• Lectures in Magnetohydrodynamics, Texte imprimé, 9783642007477
• Lectures in magnetohydrodynamics, with an appendix on extended MHD, D. D. Schnacks, Heidelberg, Springer, 2009, 1 vol. (XV-323 p.), Lecture notes in physics, 978-3-642-00687-6
• Lectures in Magnetohydrodynamics, Texte imprimé, 9783642269219
Obsah:
  • Review of Scalars, Vectors, Tensors, and Dyads Mass Conservation and the Equation of Continuity The Equation of Motion Energy Flow The Electromagnetic Field Closures Conservation Laws Ideal MHD and the Frozen Flux Theorem Resistivity and Viscosity Similarity Scaling The W#x00F6;ltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross-Helicity Reduced MHD Equilibrium: General Considerations#x2014; The Virial Theorem Simple MHD Equilibria Poloidal Beta, Paramagnetism, and Diamagnetism #x201C;Force-Free#x201D; Fields Toroidal Equilibrium; The Grad#x2013;Shafranov Equation Behavior of Small Displacements in Ideal MHD Linearized Equations and the Ideal MHD Force Operator Boundary Conditions for Linearized Ideal MHD Proof that the Ideal MHD Force Operator is Self-Adjoint Waves in a Uniform Medium: Special Cases Waves in a Uniform Medium: Arbitrary Angle of Propagation The Calculus of Variations and the Ideal MHD Energy Principle Examples of the Application of the Energy Principle The Rayleigh#x2013;Ritz Technique for Estimating Eigenvalues The Gravitational Interchange Mode or -Mode Comments on the Energy Principle and the Minimizing Eigenfunction Examples of the Application of the Energy Principle to Cylindrical Equilibria A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities Magnetic Reconnection Steady Reconnection: The Sweet#x2013;Parker Problem Resistive Instabilities: The Tearing Mode Resistive Instabilities: Closing Remarks Turbulence MHD Relaxation: Magnetic Self-Organization Dynamos: Magnetic Field Generation and Maintenance