Mathematical models of equilibrium configurations of plasma surrounding current-carrying conductors. (English. Russian original) Zbl 1447.76044
Differ. Equ. 56, No. 7, 872-881 (2020); translation from Differ. Uravn. 56, No. 7, 901-909 (2020).
Summary: This work belongs to 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 as a common basic element of any Galathea trap. 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.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 76E25 | Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |
| 78A37 | Ion traps |
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