Mathematical model of equilibrium plasma configurations in magnetic traps and their stability analysis

DOI10.1134/s0081543823040053zbMath1529.76102OpenAlexW4390003018MaRDI QIDQ6182811

K. V. Brushlinskii, V. V. Kryuchenkov, Evgenii V. Stepin

Publication date: 21 December 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823040053

zbMATH Keywords

finite difference methodlinear stability analysiscontrolled thermonuclear fusionimmersed current-carrying conductortoroidal Galatea-belt traptwo-dimensional Grad-Shafranov equation

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

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• Stability issues in two-dimensional mathematical models of plasma equilibrium in magnetic Galathea traps
• Mathematical models of equilibrium configurations of plasma surrounding current-carrying conductors
• On the stability of plasma equilibrium in the neighborhood of a straight current conductor
• A plasmastatic model of the galathea-belt magnetic trap
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Some problems in the theory of quasilinear equations

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