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

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dc.contributor.authorBrushlinskii, K. V.
dc.contributor.authorStepin, E. V.
dc.contributor.authorБрушлинский, Константин Владимирович
dc.contributor.authorСтёпин, Евгений Викторович
dc.date.accessioned2024-11-29T19:26:48Z
dc.date.available2024-11-29T19:26:48Z
dc.date.issued2021
dc.description.abstract© 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.
dc.format.extentС. 835-847
dc.identifier.citationBrushlinskii, 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
dc.identifier.doi10.1134/S0012266121070016
dc.identifier.urihttps://www.doi.org/10.1134/S0012266121070016
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85113198799&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000686779200001
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/24588
dc.relation.ispartofDifferential Equations
dc.titleStability Issues in Two-Dimensional Mathematical Models of Plasma Equilibrium in Magnetic Galathea Traps
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue7
oaire.citation.volume57
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