Variational approaches to the problems of plasma stability and of nonlinear plasma dynamics
Variational approaches to the problems of plasma stability and of nonlinear plasma dynamics
复制标题
等离子体稳定性和非线性等离子体动力学问题的变分方法
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
V. Pastukhov
中科院分区：
文献类型：
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作者：
V. Ilgisonis;V. Pastukhov
为了研究等离子体的非线性动力学和稳定性，发展了一种变分方法，使用流体力学等离子体模型，即单流体，霍尔和电子MHD模型。该方法的关键思想是充分考虑变分对称性和相关的守恒定律固有的这些流体动力学模型。应用这种方法导出了稳定运动等离子体稳定性的变分判据，并提出了一种绝热分离快、慢运动的变分方法，使基本流体动力学模型的简化成为可能。
A variational method is developed in order to investigate the nonlinear dynamics and stability of plasma using hydrodynamic plasma models, namely, the one-fluid, Hall, and electron MHD models. The key idea of the method is to adequately take into account variational symmetries and the associated conservation laws inherent in these hydrodynamic models. This approach is applied to derive variational criteria for the stability of a steadily moving plasma and to propose a variational method of the adiabatic separation of fast and slow motions, which makes it possible to simplify (reduce) the basic hydrodynamic models.