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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 12, Pages 2184–2194 (Mi zvmmf4982)  
This article is cited in 20 scientific papers (total in 20 papers)

A plasmastatic model of the galathea-belt magnetic trap

K. V. Brushlinskiia, P. A. Ignatovb

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moskow, 125047 Russia
b National Researh Nuclear University, Moscow Institute of Engineering Physics, Kashirskoe sh. 31, Moscow, 115409 Russia
Full-text PDF (223 kB) Citations (20)
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Abstract: The mathematical apparatus of plasmastatics, which includes the MHD equilibrium equation and steady-state Maxwell equations, is reduced, in two-dimensional problems arising due to symmetry, to a single scalar second-order elliptic equation with a nonlinear right-hand side known as the Grad-Shafranov equation. In this paper, we numerically solve a series of boundary value problems for this equation that model equilibrium plasma configurations in the magnetic field of the belt-like galathea trap in a cylinder with two plasma embedded conductors. The mathematical model is outlined, the results of calculations of the magnetic field and plasma pressure in the cylinder depending on the parameters of the problem are presented, and the main integral characteristics of the trap are calculated. The existence and uniqueness of the solution is discussed; the limiting values of the maximal pressure at which there exists a solution of the equilibrium problem are found.
Key words: mathematical apparatus of plasmastatics, Grad-Shafranov equation, calculations of equilibrium plasma configurations in magnetic traps.
Received: 28.04.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 12, Pages 2071–2081
DOI: https://doi.org/10.1134/S0965542510120092
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: K. V. Brushlinskii, P. A. Ignatov, “A plasmastatic model of the galathea-belt magnetic trap”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2184–2194; Comput. Math. Math. Phys., 50:12 (2010), 2071–2081
Citation in format AMSBIB
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\by K.~V.~Brushlinskii, P.~A.~Ignatov
\paper A plasmastatic model of the galathea-belt magnetic trap
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 12
\pages 2184--2194
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010CMMPh..50.2071B}
\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 12
\pages 2071--2081
\crossref{https://doi.org/10.1134/S0965542510120092}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650601560}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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