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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schnack, Dalton D. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Lecture Notes in Physics, 780
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a 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. 
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