Mathematical model of the Galathea-belt toroidal magnetic trap

We consider a mathematical model of equilibrium configurations of plasma, magnetic field, and electric field in a toroidal trap with two ring conductors with current loaded into plasma. We present the mathematical apparatus of the model based on the numerical solution of boundary value problems for...

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Bibliographic Details
Published in:Differential equations 2016-07, Vol.52 (7), p.845-854
Main Authors: Brushlinskii, K. V., Goldich, A. S.
Format: Article
Language:English
Subjects:
Applied mathematics
Boundary value problems
Conductors
Cylinders
Difference and Functional Equations
Differential equations
Electric currents
Electrons
Equilibrium
Magnetic fields
Magnetic flux
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Numerical Methods
Ordinary Differential Equations
Partial Differential Equations
Plasma
Studies
Symmetry
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Summary:We consider a mathematical model of equilibrium configurations of plasma, magnetic field, and electric field in a toroidal trap with two ring conductors with current loaded into plasma. We present the mathematical apparatus of the model based on the numerical solution of boundary value problems for the Grad–Shafranov equation (a differential equation of elliptic type for the magnetic flux function), solution methods for these problems, and numerically obtained properties of equilibrium configurations. We indicate the differences in configurations in the toroidal trap and in its analog straightened into a cylinder.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266116070041