Magnetohydrodynamic equilibria with incompressible flows: Symmetry approach

被引：12
|
作者：
Cicogna, G. [1 ,2 ]
Pegoraro, F. [1 ]
机构：
[1] Univ Pisa, Dipartimento Fis E Fermi, I-56127 Pisa, Italy
[2] Ist Nazl Fis Nucl, Sez Pisa, I-56127 Pisa, Italy
来源：
PHYSICS OF PLASMAS | 2015年 / 22卷 / 02期
关键词：
EQUATIONS;
D O I：
10.1063/1.4913580
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We identify and discuss a family of azimuthally symmetric, incompressible, magnetohydrodynamic plasma equilibria with poloidal and toroidal flows in terms of solutions of the Generalized Grad Shafranov (GGS) equation. These solutions are derived by exploiting the incompressibility assumption, in order to rewrite the GGS equation in terms of a different dependent variable, and the continuous Lie symmetry properties of the resulting equation and, in particular, a special type of "weak" symmetries. (C) 2015 AIP Publishing LLC.
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页数：8
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