Titlebook: Magnetohydrodynamics and Spectral Theory; Alexander E. Lifschitz Book 1989 Kluwer Academic Publishers 1989 MHD.Plasma.magnetohydrodynamics

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Preliminaries from the spectral theory of operators,The present book is devoted to the investigation of the natural oscillations of a plasma near its equilibrium. This problem may be solved by means of operator theory, being a broad generalization of matrix theory.

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Basic equations and their main properties,The present chapter consists of two parts. At the beginning we derive the MHD equations, using the self-consistent Maxwell—Boltzmann equations as a starting point; then we discuss their main properties.

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MHD oscillations of two- and three-dimensional configurations,In the present chapter we shall describe the natural oscillations of two- and three-dimensional configurations. This problem is of great practical importance, because all equilibrium configurations of interest, being closed, are either two-dimensional (tokamaks) or three-dimensional (stellarators and some others).

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