DOI: https://doi.org/10.30970/jps.03.42
A KINETIC MODEL OF THE PLASMA FLOW AT THE MAGNETIC z-PINCH AND THE PLASMOID STRUCTURE. PART 2
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Journal of Physical Studies 3(1), 42–46 (1999)
DOI: https://doi.org/10.30970/jps.03.42 A KINETIC MODEL OF THE PLASMA FLOW AT THE MAGNETIC z-PINCH AND THE PLASMOID STRUCTURE. PART 2 |
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P. Kubes1,
A. K. Prykarpatsky2,
J. Zagrodzinski3,
Y. A. Prykarpatsky3
1Dept. of Electrical Engeneering, Czech Technical University,
2 Technicna Str., 16627, Praha-6, Czech Republic
2Dept. of Applied Mathem. at the AGH, Krakow, 30-059, Poland
Dept. of Nonlinear Math. Analysis at the Institute for Applied Problems
of Mechanics and Math. of National Acad. Sci. of Ukraine,
3b Naukova Str., Lviv, UA–290053, Ukraine
3The Institute of Physics of the PAN,
al. Lotnikow 32/46, Warsaw, 02-668, Poland
In this article we will follow the approach developed in articles N.~N.~Bogoliubov, V.~Hr.~Samoilenko, Ukr. Fiz. Zh., {\bf 37}, 147 (1992); J.~Gibbon, Physica D {\bf 3}, 503 (1981) using modern Lie–algebraic and symplectic geometry methods. It is devoted to the description of Boltzman–Vlasov type kinetic equations and some two–dimensional hydrodynamic Benney type flows associated with them. In our case of the cylindrical symmetry taking place at the interrupted magnetic z–pinch in plasma we used intensively the corresponding two–dimensionality of the plasma flow under consideration which made it possible to build a kinetic model of the plasmoid vortex structure with a conserved number of linkages of vortex lines. The latter can be used to explain the observed earlier stability of the plasmoid structure at the magnetic z–pinch.