Variational principle with singular perturbation of hall magnetohydrodynamics

Physics of Plasmas

Volumn 12, Issue 6, 2005, Pages 1-4

  Ohsaki, Shuichi ^a,b   Yoshida, Zensho ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HALL MAGNETOHYDRODYNAMICS (H-MHD); ION HELICITY;

HALL EFFECT; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

MAGNETOHYDRODYNAMICS;

EID: 24144456026     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1936585     Document Type: Article

References (10)

1. S. M. Mahajan and Z. Yoshida, Phys. Rev. Lett. 81, 4863 (1998).
2. Z. Yoshida and S. M. Mahajan, Phys. Rev. Lett. 88, 095001 (2002).
3. Z. Yoshida, S. M. Mahajan, S. Ohsaki, Phys. Plasmas 8, 2125 (2001).
4. Z. Yoshida and Y. Giga, Math. Z. 204, 235 (1990).
5. J. B. Taylor, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.33.1139 33, 1139 (1974); J. B. Taylor, Rev. Mod. Phys. 58, 741 (1986).
6. J. B. Taylor, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.33.1139 33, 1139 (1974); J. B. Taylor, Rev. Mod. Phys. 58, 741 (1986).
7. D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, 1993), pp. 184-196.
8. J. M. Finn and T. M. Antonsen, Phys. Fluids 26, 3540 (1986).
9. A. Hasegawa, Adv. Phys. 34, 1 (1985).
10. S. Ohsaki, Phys. Plasmas 12, 032306 (2005). We choose the initial condition as ψ= [sin (2π x) sin (2π y) +0.1 sin (6π x) sin (6π y)] (2π), φ=0.5 sin (2π x) sin (2π y) (2π), Bz =sin (2π x) sin (2π y), and Vz =0.5 sin (2π x) sin (2π y) instead of (10)-(12) in this reference.