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001 978-3-642-00688-3
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005 20190213151529.0
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008 100301s2009 gw | s |||| 0|eng d
020 _a9783642006883
_9978-3-642-00688-3
024 7 _a10.1007/978-3-642-00688-3
_2doi
050 4 _aQC1-QC999
072 7 _aPHV
_2bicssc
072 7 _aSCI003000
_2bisacsh
072 7 _aPHV
_2thema
082 0 4 _a621
_223
100 1 _aSchnack, Dalton D.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLectures in Magnetohydrodynamics
_h[electronic resource] :
_bWith an Appendix on Extended MHD /
_cby Dalton D. Schnack.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXV, 323 p. 119 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v780
505 0 _aReview 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.
520 _aThis 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.
650 0 _aMagnetism.
650 0 _aAstrophysics.
650 1 4 _aApplied and Technical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P31000
650 2 4 _aMagnetism, Magnetic Materials.
_0http://scigraph.springernature.com/things/product-market-codes/P25129
650 2 4 _aPlasma Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P24040
650 2 4 _aAtoms and Molecules in Strong Fields, Laser Matter Interaction.
_0http://scigraph.springernature.com/things/product-market-codes/P24025
650 2 4 _aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics).
_0http://scigraph.springernature.com/things/product-market-codes/P22030
650 2 4 _aNuclear Energy.
_0http://scigraph.springernature.com/things/product-market-codes/113000
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642007477
776 0 8 _iPrinted edition:
_z9783642006876
776 0 8 _iPrinted edition:
_z9783642269219
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v780
856 4 0 _uhttps://doi.org/10.1007/978-3-642-00688-3
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10992
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