Axisymmetric flows in Hall-MHD: A tendency towards finite-time singularity formation

被引:21
作者
Dreher, J [1 ]
Ruban, V
Grauer, R
机构
[1] Ruhr Univ Bochum, D-4630 Bochum, Germany
[2] LD Landau Theoret Phys Inst, Moscow, Russia
关键词
D O I
10.1088/0031-8949/72/6/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spontaneous development of shock-like singularities in axisymmetric solutions of the Hall-MHD equations is discussed. It is shown that the Hall-term in Ohm's law leads to a Burgers-type equation for the magnetic field evolution in weakly compressible regime. Numerical simulations are used to investigate the validity of this approximation for a particular class of initial conditions.
引用
收藏
页码:451 / 455
页数:5
相关论文
共 24 条
[1]  
[Anonymous], 1990, Reviews of Plasma Physics
[2]   Intermittency of Burgers' turbulence [J].
Balkovsky, E ;
Falkovich, G ;
Kolokolov, I ;
Lebedev, V .
PHYSICAL REVIEW LETTERS, 1997, 78 (08) :1452-1455
[3]  
Birn J, 2001, J GEOPHYS RES-SPACE, V106, P3715, DOI 10.1029/1999JA900449
[4]   Two-fluid theory of collisionless magnetic reconnection [J].
Biskamp, D ;
Schwarz, E ;
Drake, JF .
PHYSICS OF PLASMAS, 1997, 4 (04) :1002-1009
[5]   Two-dimensional electron magnetohydrodynamic turbulence [J].
Biskamp, D ;
Schwarz, E ;
Drake, JF .
PHYSICAL REVIEW LETTERS, 1996, 76 (08) :1264-1267
[6]  
DREHER J, 2005, IN PRESS PARALLEL CO
[7]   INTERMITTENCY IN FULLY-DEVELOPED TURBULENCE - LOG-POISSON STATISTICS AND GENERALIZED SCALE COVARIANCE [J].
DUBRULLE, B .
PHYSICAL REVIEW LETTERS, 1994, 73 (07) :959-962
[8]  
E WN, 1999, PHYS REV LETT, V83, P2572, DOI 10.1103/PhysRevLett.83.2572
[9]  
Fefferman C., 2000, EXISTENCE SMOOTHNESS
[10]   Singularities of Euler flow? Not out of the blue! [J].
Frisch, U ;
Matsumoto, T ;
Bec, J .
JOURNAL OF STATISTICAL PHYSICS, 2003, 113 (5-6) :761-781