05716nam 22008295 450 99646683580331620200630055539.01-280-38486-797866135627843-642-00688-410.1007/978-3-642-00688-3(CKB)1000000000784993(SSID)ssj0000318648(PQKBManifestationID)11212547(PQKBTitleCode)TC0000318648(PQKBWorkID)10329672(PQKB)11153326(DE-He213)978-3-642-00688-3(MiAaPQ)EBC3064442(PPN)139950419(EXLCZ)99100000000078499320100301d2009 u| 0engurnn|008mamaatxtccrLectures in Magnetohydrodynamics[electronic resource] With an Appendix on Extended MHD /by Dalton D. Schnack1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (XV, 323 p. 119 illus.) Lecture Notes in Physics,0075-8450 ;780Bibliographic Level Mode of Issuance: Monograph3-642-00687-6 Includes bibliographical references and index.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.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 latter topics require the inclusion of the effects of resistivity and nonlinearity. Together, these span the range of MHD issues that have proven to be important for understanding magnetically confined plasmas as well as in some space and astrophysical applications. The combined length and style of the thirty-eight lectures are appropriate for complete presentation in a single semester. An extensive appendix on extended MHD is included as further reading.Lecture Notes in Physics,0075-8450 ;780PhysicsMagnetismMagnetic materialsPlasma (Ionized gases)AtomsSpace sciencesNuclear energyApplied and Technical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31000Magnetism, Magnetic Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/P25129Plasma Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P24040Atoms and Molecules in Strong Fields, Laser Matter Interactionhttps://scigraph.springernature.com/ontologies/product-market-codes/P24025Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)https://scigraph.springernature.com/ontologies/product-market-codes/P22030Nuclear Energyhttps://scigraph.springernature.com/ontologies/product-market-codes/113000Physics.Magnetism.Magnetic materials.Plasma (Ionized gases).Atoms.Space sciences.Nuclear energy.Applied and Technical Physics.Magnetism, Magnetic Materials.Plasma Physics.Atoms and Molecules in Strong Fields, Laser Matter Interaction.Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics).Nuclear Energy.538.6530sdnbUD 8220rvkSchnack Dalton Dauthttp://id.loc.gov/vocabulary/relators/aut508848BOOK996466835803316Lectures in Magnetohydrodynamics774139UNISA