OPTIMALITY CONDITIONS FOR A CONTROLLED SWEEPING PROCESS WITH APPLICATIONS TO THE CROWD MOTION MODEL
Article
Discrete and Continuous Dynamical Systems - Series B.
Southwest Missouri State University.
Vol. 22.
2017.
P. 267-306
Geodesic acoustic modes in noncircular cross section tokamaks
The influence of the shape of the plasma cross section on the continuous spectrum of geodesic acoustic modes (GAMs) in a tokamak is analyzed in the framework of the MHD model. An expression for the frequency of a local GAM for a model noncircular cross section plasma equilibrium is derived. Amendments to the oscillation frequency due to the plasma elongation and triangularity and finite tokamak aspect ratio are calculated. It is shown that the main factor affecting the GAM spectrum is the plasma elongation, resulting in a significant decrease in the mode frequency. © 2017, Pleiades Publishing, Ltd.
Authors
Journal
Number of issue
3
Language
English
Pages
271-279
Status
Published
Link
Volume
43
Year
2017
Organizations
- 1 National Research Center “Kurchatov Institute,”, Moscow, Russian Federation
- 2 People’s Friendship University of Russia, Moscow, Russian Federation
- 3 National Research Nuclear University “MEPhI,”, Moscow, Russian Federation
Date of creation
19.10.2018
Date of change
06.09.2021
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Other records
Mendeleev Communications.
Royal Society of Chemistry.
Vol. 27.
2017.
P. 116-118