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One-fluid approach to the theory of viscous-resistive ballooning modes in a Tokamak. I. The averaged ballooning equations

A B Mikhailovskii, B N Kuvshinov, V P Lakhin, S V Novakovskii, A I Smolyakov, S E Sharapov, A P Churikov1989年Plasma Physics and Controlled FusionIF 2.2出版社

The one-fluid approach to the theory of viscous-resistive ballooning modes in a Tokamak is developed. Qualitative ideas about essential viscous effects (inertia renormalization and viscous resistive effect) are given. A procedure for simplifying the MHD equations in a resistive layer, which takes into account viscosity and other typical effects, is described. The weakly ballooning approximation is used for averaging the ballooning equations. The equations obtained are a generalization of a number of different particular cases of ballooning equations obtained by previous authors.

日本語訳

トカマクにおける粘性抵抗性バルーニングモードの理論に対する一流体アプローチが展開される。本質的な粘性効果(慣性の繰り込みおよび粘性抵抗効果)に関する定性的な考え方が示される。粘性およびその他の典型的な効果を考慮に入れた抵抗層におけるMHD方程式の簡略化手順が記述される。弱バルーニング近似がバルーニング方程式の平均化に用いられる。得られた方程式は、従来の研究者らによって得られた様々な特殊なバルーニング方程式の一般化である。

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