This work belongs in the field of mathematical modeling and numerical studies of equilibrium configurations of plasma, magnetic field, and electric current in Galathea traps with current-carrying conductors immersed in a plasma volume. Models of permissible configurations in the annular neighborhood of a straight conductor that are not in contact with its surface are constructed and investigated. Such configurations can be considered a common basic element of any Galathea. The dependence of the configurations on the position of the outer boundary of the neighborhood is considered, and the MHD-stability of equilibrium configurations with respect to three-dimensional perturbations in the linear approximation is studied. Quantitative laws governing the restrictions on the plasma pressure are found that ensure the existence and stability of the configurations under consideration.

中文翻译：

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等离子体周围载流导体平衡构型的数学模型

这项工作属于对载流导体浸入等离子体体积的 Galathea 陷阱中等离子体、磁场和电流的平衡配置的数学建模和数值研究领域。构建并研究了不与其表面接触的直导体环形邻域中允许配置的模型。这样的配置可以被认为是任何 Galatha 的共同基本元素。考虑了构型对邻域外边界位置的依赖性，研究了线性逼近中关于三维扰动的平衡构型的MHD稳定性。