D. Yu. Sychugov, Yu. N. Dnestrovskii, D. P. Kostomarov, V. V. Amelin, N. A. Gasilov, “Mathematical properties of the model of vertical plasma instability in tokamak”, Mat. Model., 2011, Volume 23, Number 4,Pages <nobr>69

This article is cited in 3 papers

Mathematical properties of the model of vertical plasma instability in tokamak

D. Yu. Sychugov^a, Yu. N. Dnestrovskii^b, D. P. Kostomarov^a, V. V. Amelin^a, N. A. Gasilov^c

^a Lomonosov Moscow State University, Department of Computational Mathematics and Cybernetics
^b Russian National Research Centre Kurchatov Institute
^c Baskent University, Ankara, Turkey

Abstract: The model of vertical plasma instability is investigated. Fast MHD, slow resistive and hybrid instabilities are studied. For the case of slow instability the models of linear and nonlinear, passive and active feedbacks are investigated. Several theorems whose interpretations are of physical importance have been proved.

Keywords: tokamak, vertical plasma instability, linear and nonlinear feedbacks, mathematical theorems, physical interpretation of theorems.

UDC: 517.958+533.9

Received: 06.12.2010