Abstract
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.
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