RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

ON THE STABILITY OF STRICT EQUILIBRIUM OF PLASMA IN TWO-DIMENSIONAL MATHEMATICAL MODELS OF MAGNETIC TRAPS

PII
10.31857/S2686954324050015-1
DOI
10.31857/S2686954324050015
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 519 / Issue number 1
Pages
3-6
Abstract
The article presents an analysis of instabilities known from previous works in a two-dimensional mathematical model of plasma configuration equilibrium using the example of a toroidal magnetic trap “Galatea–Belt” straightened into a cylinder and possessing plane symmetry. It is established that the previously observed large values of the two-dimensional velocity of disturbances in the plane of the cylinder cross-section arise on the periphery of the configuration near its conventional boundary, do not grow with time, and are due to arbitrarily small values of density, which is not determined by the idealized model of strict equilibrium. By varying the density, it is possible to influence stability. Three-dimensional (corrugated along the axis of the cylinder) disturbances grow with time in accordance with the traditional Lyapunov instability. Calculations allow us to determine the dependence of its quantitative characteristics on the problem parameters.
Keywords
магнитоплазменные конфигурации модель равновесия устойчивость конфигураций возмущения
Date of publication
15.04.2024
Year of publication
2024
Number of purchasers
0
Views
44

References

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