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Derivation of the basic equations of MHD from the Governing Principle of Dissipative Processes

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Acta Physica Hungarica

Abstract

In this paper Gyarmati’s Governing Principle of Dissipative Processes is applied to magnetohydrodynamical systems. We get the usual form of the equations in the first part, and determine an unusual but a more general form in the second. We can see a new Seebeck-Peltier type term in the formulae. What is the most important, the variational formulation of the theory of MHD gives a possibility to use the direct methods of the variational calculus in case of actual problems.

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Ván, P., Ruszin, É. Derivation of the basic equations of MHD from the Governing Principle of Dissipative Processes. Acta Physica Hungarica 68, 227–239 (1990). https://doi.org/10.1007/BF03156167

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  • DOI: https://doi.org/10.1007/BF03156167

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