2014Unpublished venueOpen access

Magnetohydrodynamic Stability of Tokamaks

Hartmut Zohm

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Abstract

The MHD Equations 1 1.1 Derivation of the MHD Equations 1 1.1.1Multispecies MHD Equations 1 1.1.2One-Fluid Model of Magnetohydrodynamics 4 1.1.3Validity of the One-Fluid Model of Magnetohydrodynamics 6 1.2 Consequences of the MHD Equations 8 1.2.1 Magnetic Flux Conservation 8 1.2.2MHD Equilibrium 10 1.2.3 Magnetohydro dynamic Waves 11 1.2.3.1 Compressions Alfven Waves 12 1.2.3.2Shear Alfven Waves 13

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The MHD Equations 1 1.1 Derivation of the MHD Equations 1 1.1.1Multispecies MHD Equations 1 1.1.2One-Fluid Model of Magnetohydrodynamics 4 1.1.3Validity of the One-Fluid Model of Magnetohydrodynamics 6 1.2 Consequences of the MHD Equations 8 1.2.1 Magnetic Flux Conservation 8 1.2.2MHD Equilibrium 10 1.2.3 Magnetohydro dynamic Waves 11 1.2.3.1 Compressions Alfven Waves 12 1.2.3.2Shear Alfven Waves 13

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Available abstract

The MHD Equations 1 1.1 Derivation of the MHD Equations 1 1.1.1Multispecies MHD Equations 1 1.1.2One-Fluid Model of Magnetohydrodynamics 4 1.1.3Validity of the One-Fluid Model of Magnetohydrodynamics 6 1.2 Consequences of the MHD Equations 8 1.2.1 Magnetic Flux Conservation 8 1.2.2MHD Equilibrium 10 1.2.3 Magnetohydro dynamic Waves 11 1.2.3.1 Compressions Alfven Waves 12 1.2.3.2Shear Alfven Waves 13

Key concepts: Tokamak, Magnetohydrodynamic drive, Stability (learning theory), Physics, Magnetohydrodynamics, Mechanics, Computer science, Plasma

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