Publication:
Stability Issues in Two-Dimensional Mathematical Models of Plasma Equilibrium in Magnetic Galathea Traps

Дата
2021
Авторы
Brushlinskii, K. V.
Stepin, E. V.
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Научные группы
Организационные подразделения
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Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
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Аннотация
© 2021, Pleiades Publishing, Ltd.Abstract: Galathea traps for confining plasma in a magnetic field created by current-carryingconductors immersed in the plasma volume constitute a promising class of objects for developmentin the field of controlled thermonuclear fusion. After describing the main properties andquantitative characteristics of the traps, the central problem is to study the stability ofequilibrium magnetoplasma configurations. Mathematical modeling and calculations performed interms of the differential equations of magnetohydrodynamics play an essential role here. Theseequations are described using the example of a toroidal “Galathea belt” trap straightened into acylinder. The article presents its plasmastatic model and several approaches to studying thestability of configurations: the convergence of iterative methods for establishing equilibrium intwo-dimensional models, a brief survey of the research into the magnetohydrodynamic stability ofone-dimensional configurations surrounding a straight current-carrying conductor, and a rigorousstudy of the stability of configurations with respect to two-dimensional perturbations in the linearapproximation. Stability criteria and their relationship to each other are obtained numerically invarious approximations. Ways of generalizing the results to three-dimensional perturbations areindicated.
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Цитирование
Brushlinskii, K. V. Stability Issues in Two-Dimensional Mathematical Models of Plasma Equilibrium in Magnetic Galathea Traps / Brushlinskii, K.V., Stepin, E.V. // Differential Equations. - 2021. - 57. - № 7. - P. 835-847. - 10.1134/S0012266121070016
URI
https://www.doi.org/10.1134/S0012266121070016
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85113198799&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000686779200001
 https://openrepository.mephi.ru/handle/123456789/24588
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