Simultaneous Beltrami conditions in coupled vortex dynamics

Journal of Mathematical Physics

Volumn 40, Issue 10, 1999, Pages 5080-5091

  Yoshida, Z ^a   Mahajan, S M ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240840     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533016     Document Type: Article

References (21)

1. Z. Yoshida and Y. Giga, Math. Z. 204, 235 (1990).
2. 2(Ω).
3. S. M. Mahajan and Z. Yoshida, Phys. Rev. Lett. 81, 4863 (1998).
4. R. Lüst and A. Schlüter, Z. Astrophys. 34, 263 (1954).
5. S. Chandrasekhar, Proc. Natl. Acad. Sci. USA 42, 1 (1956).
6. S. Chandrasekhar and P. C. Kandall, Astrophys. J. 126, 457 (1957).
7. L. Acton et al., Science 258, 618 (1992).
8. A. Königl and A. R. Choudhuri, Astrophys. J. 289, 173 (1985).
9. J. B. Taylor, Rev. Mod. Phys. 58, 741 (1986).
10. Z. Yoshida et al., J. Plasma Phys. 59, 103 (1998).
11. When the electron mass is neglected, the two-fluid model may be called Hall MHD.
12. We remark that the solution u is a real function, if α and β are real. Indeed, if u is a solution for real α and β, then ū is also a solution (take the complex conjugate of the equations). Since the solution is unique (see Sec. IV), u=ū, and hence u is a real function.
13. R. Temam, Navier-Stokes Equations (North-Holland, Amsterdam, 1984).
14. L. Woltjer, Proc. Natl. Acad. Sci. USA 44, 489 (1958).
15. P. Laurence and M. Avellaneda, J. Math. Phys. 32, 1240 (1991).
16. J. B. Taylor, Phys. Rev. Lett. 33, 1139 (1974).
17. A. Hasegawa, Adv. Phys. 34, 1 (1985).
18. D. Montgomery. L. Turner, and G. Varala, Phys. Fluids 21, 757 (1978).
19. N. Ito and Z. Yoshida, Phys. Rev. E 53, 5200 (1996).
20. L. C. Steinhauer and A. Ishida, Phys. Rev. Lett. 79, 3423 (1997).
21. Z. Yoshida, Phys. Fluids B 1, 1702 (1989).