Compressible magnetohydrodynamic Kelvin-Helmholtz instability with vortex pairing in the two-dimensional transverse configuration

Physics of Plasmas

Volumn 4, Issue 8, 1997, Pages 2871-2885

  Miura, Akira ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038873111     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872419     Document Type: Article

References (106)

1. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, Oxford, 1961), Chap XI.
2. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1959).
3. R. A. Gervin, Rev. Mod. Phys. 40, 652 (1968).
4. A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, Berlin, 1975), p. 125.
5. D. J. Tritton, Physical Fluid Dynamics (Van Nostrand Reinhold, Berkshire, England, 1977), p. 209.
6. J. W. Dungey, in Proceedings of the Conference of the lonosphere (The Physical Society, London, 1955), p. 225.
7. J. A. Fejer, Phys. Fluids 7, 499 (1964).
8. S. P. Talwar, J. Geophys. Res. 69, 2707 (1964).
9. A. K. Sen, Planet. Space Sci. 13, 131 (1965).
10. I. Lerche, J. Geophys. Res. 71, 2365 (1966).
11. D. J. Southwood, Planet. Space Sci. 16, 587 (1968).
12. M. Dobrowolny, Phys. Fluids 15, 2263 (1972).
13. A. Miura and T. Sato, J. Geophys. Res. 83, 2109 (1978).
14. T. Tajima and J. N. Lebouef, Phys. Fluids 23, 884 (1980).
15. A. D. M. Walker, Planet. Space Sci. 29, 1119 (1981).
16. J. D. Huba, J. Geophys. Res. 86, 8991 (1981).
17. A. Miura, Phys. Rev. Lett. 49, 779 (1982).
18. A. Miura and P. L. Pritchett, J. Geophys. Res. 87, 7431 (1982).
19. J. S. Wagner, R. D. Sydora, T. Tajima, T. Hallinan, L. C. Lee, and S.-I. Akasofu, J. Geophys. Res. 88, 8013 (1983).
20. Z. Y. Pu and M. G. Kivelson, J. Geophys. Res. 88, 841 (1983).
21. A. Miura, J. Geophys. Res. 89, 801 (1984).
22. P. L. Pritchett and F. V. Coroniti, J. Geophys. Res. 89, 168 (1984).
23. C. C. Wu, J. Geophys. Res. 91, 3042 (1986).
24. A. Miura, J. Geophys. Res. 92, 3195 (1987).
25. G. Y. Ganguli, , Y. C. Lee, and P. J. Palmadesso, Phys. Fluids 31, 823 (1988).
26. G. Belmont and G. Chanteur, Phys. Scr. 40, 124 (1989).
27. V. A. Thomas and D. Winske, Geophys. Res. Lett. 18, 1943 (1991).
28. A. Miura, J. Geophys. Res. 97, 10 655 (1992).
29. T. Terasawa, M. Fujimoto, H. Karimabadi, and N. Omidi, Phys. Rev. Lett. 68, 2778 (1992).
30. Z. Wang, P. L. Pritchett, and M. Ashour-Abdalla, Phys. Fluids B 4, 1092 (1992).
31. J. R. Manuel and J. C. Samson, J. Geophys. Res. 98, 17 367 (1993).
32. V. A. Thomas and D. Winske, J. Geophys. Res. 98, 11 425 (1993).
33. M. Fujimoto and T. Terasawa, J. Geophys. Res. 99, 8601 (1994).
34. M. Wilber and R. M. Winglee, J. Geophys. Res. 100, 1883 (1995).
35. A. Miura, in Physics of the Magnetopause, edited by P. Song, B. U. Ö. Sonnerup, and M. F. Thomsen (American Geophysical Union, Washington, DC, 1995), p. 285.
36. J. D. Huba, Geophys. Res. Lett. 21, 2907 (1996).
37. P. H. Yoon, J. F. Drake, and A. T. Y. Lui, J. Geophys. Res. 101, 27 327 (1996).
38. K. W. Min and D. Y. Lee, Geophys. Res. Lett. 23, 3667 (1996).
39. M. J. Keskinen, Phys. Plasmas 3, 1259 (1996).
40. E. T. Scharlemann, Astrophys. J. 219, 617 (1978).
41. P. Ghosh and F. K. Lamb, Astrophys. J. 232, 259 (1979).
42. U. Anzer and G. Borner, Astron. Astrophys. 83, 133 (1980).
43. Y.-M. Wang and J. A. Robertson, Astron. Astrophys. 139, 93 (1984).
44. S. R. Choudhury and R. V. E. Lovelace, Astrophys. J. 302, 188 (1986).
45. J. Arons, Astrophys. J. 408, 160 (1993).
46. J. T. Karpen, S. K. Antiochos, R. B. Dahlburg, and D. S. Spicer, Astrophys. J. 403, 769 (1993).
47. D. Ryu, T. W. Jones, and A. Frank, Astrophys. J. 452, 785 (1995).
48. A. Malagoli, G. Bodo, and R. Rosner, Astrophys. J. 456, 708 (1996).
49. A. Frank, T. W. Jones, D. Ryu, and J. B. Gaalaas, Astrophys. J. 460, 777 (1996).
50. T. W. Jones, J. B. Gaalaas, D. Ryu, and A. Frank, Astrophys. J. 482, 230 (1997).
51. N. D'Angelo, Phys. Fluids 8, 1748 (1965).
52. C. G. Smith and S. von Goeler, Phys. Fluids 11, 2665 (1968).
53. J. A. Byers, Phys. Fluids 9, 1038 (1966).
54. R. H. Levy and R. W. Hockney, Phys. Fluids 11, 766 (1968).
55. F. W. Perkins and D. L. Jassby, Phys. Fluids 14, 102 (1971).
56. K. Theilhaber and C. K. Birdsall, Phys. Fluids B 1, 2260 (1989).
57. T. Tajima, W. Horton, P. J. Morrison, J. Schutkeker, T. Kamimura, K. Mima, and Y. Abe, Phys. Fluids B 3, 938 (1991).
58. H. Romero, G. Ganguli, and Y. C. Lee, Phys. Rev. Lett. 69, 3503 (1992).
59. D. Cai, L. R. O. Storey, and T. Itoh, Phys. Fluids B 5, 3507 (1993).
60. V. Gavrishchaka, M. E. Koepke, J. J. Carroll, III, and G. Ganguli, in Cross-Scale Coupling Processes in Space Plasma, edited by J. Horwitz, N. Singh, and J. Burch (American Geophysical Union, Washington, DC, 1995), p. 81.
61. N. J. Zabusky and G. S. Deem, J. Fluid Mech. 47, 353 (1971).
62. J. P. Christiansen and N. J. Zabusky, J. Fluid Mech. 61, 219 (1973).
63. C. D. Winant and F. K. Browand, J. Fluid Mech. 63, 237 (1974).
64. G. L. Brown and A. Roshko, J. Fluid Mech. 64, 775 (1974).
65. F. K. Browand and P. D. Weidman, J. Fluid Mech. 76, 127 (1976).
66. P. G. Drazin and A. Davey, J. Fluid Mech. 82, 255 (1976).
67. C.-M. Ho and L.-S. Huang, J. Fluid Mech. 119, 443 (1982).
68. G. M. Corcos and F. S. Sherman, J. Fluid Mech. 139, 29 (1984).
69. H. T. Moon and P. D. Weidman, Phys. Fluids 31, 3804 (1988).
70. D. Papamoshou and A. Roshko, J. Fluid Mech. 197, 453 (1988).
71. S. Lele, 27th Aerospace Science Meeting (American Institute of Aeronautics and Astronautics, Inc., Washington DC, 1989), Paper No. 89-0374.
72. N. D. Sandam and W. C. Reynolds, AIAA J. 28, 618 (1990).
73. N. D. Sandam and W. C. Reynolds, J. Fluid Mech. 224, 133 (1991).
74. W. I. Axford and C. O. Hines, Can. J. Phys. 39, 1433 (1961).
75. P. H. Reiff, R. W. Spiro, and T. W. Hill, J. Geophys. Res. 86, 7639 (1981).
76. R. P. Lepping and L. F. Burlaga, J. Geophys. Res. 84, 7099 (1979).
77. S.-H. Chen, M. G. Kivelson, J. T. Gosling, R. J. Walker, and A. J. Lazarus, J. Geophys. Res. 98, 5727 (1993).
78. S.-H. Chen and M. G. Kivelson, Geophys. Res. Lett. 20, 2699 (1993).
79. S. Kokubun, H. Kawano, M. Nakamura, T. Yamamoto, K. Tsuruda, H. Hayakawa, A. Matsuoka, and L. A. Frank, Geophys. Res. Lett. 21, 2883 (1994).
80. H. Kawano, S. Kokubun, T. Yamamoto, K. Tsuruda, H. Hayakawa, M. Nakamura, T. Okada, A. Matsuoka, and A. Nishida, Geophys. Res. Lett. 21, 2895 (1994).
81. F. S. Mozer, K. Tsuruda, H. Hayakawa, M. Nakamura, S. Kokubun, and T. Yamamoto, Geophys. Res. Lett. 21, 2983 (1994).
82. J. Seon, L. A. Frank, J. T. Gosling, A. J. Lazarus, R. P. Lepping, and C. T. Russell, J. Geophys. Res. 100, 11 907 (1995).
83. M. G. Kivelson and S.-H. Chen, in Ref. 35, p. 257.
84. A. W. Schardt, K. W. Behannon, R. P. Lepping, J. F. Carbary, A. Eviatar, and G. L. Siscoe, in Saturn, edited by T. Gehrels and M. S. Matthews (University of Arizona Press, Tucson, 1984), p. 416.
85. D. A. Roberts, M. L. Goldstein, W. H. Matthaeus, and S. Ghosh, J. Geophys. Res. 97, 17 115 (1992).
86. M. L. Goldstein, D. A. Roberts, and W. H. Matthaeus, Annu. Rev. Astron. Astrophys. 33, 283 (1995).
87. K. H. Burrell E. J. Doyle, P. Gohill, R. J. Groebner, J. Kim, R. J. LaHaye, L. L. Lao, R. A. Moyer, T. H. Osborne, W. A. Peebles, C. L. Rettig, T. H. Rhodes, and D. M. Thomas, Phys. Plasmas 1, 1536 (1994).
88. J. R. Spreiter, A. L. Summers, and A. Y. Alksne, Planet. Space Sci. 14, 14223 (1966).
89. L. Onsager, Nuovo Cimento Suppl. 6, 279 (1949).
90. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953), p. 187.
91. R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
92. D. C. Montgomery, in Nagoya Lectures in Plasma Physics and Controlled Fusion, edited by Y. H. Ichikawa and T. Kamimura (Tokai University Press, Tokai, 1989), p. 207.
93. D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, 1993), Chap. 7.
94. G. Vahala and D. Montgomery, J. Plasma Phys. 6, 425 (1971).
95. T. E. Eastman, Phys. Fluids B 5, 2671 (1993).
96. A. Eviatar and R. W. Wolf, J. Geophys. Res. 73, 5561 (1968).
97. B. T. Tsurutani and R. M. Thorne, Geophys. Res. Lett. 9, 1247 (1982).
98. R. A. Treumann, J. Labelle, and R. Pottelette, J. Geophys. Res. 96, 16 009 (1991).
99. H. Okuda, J. Geophys. Res. 98, 3953 (1993).
100. D. Winske, V. A. Thomas, and N. Omidi, in Ref. 35, p. 321.
101. A. Miura and T. Sato, J. Fluid Mech. 86, 33 (1978).
102. W. Horton, T. Tajima, and T. Kamimura, Phys. Fluids 30, 3485 (1987).
103. R. Rankin, P. Frycz, J. C. Samson, and V. T. Tikhonchuk, Phys. Plasmas 4, 829 (1997).
104. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, London, 1932), p. 668.
105. S. I. Braginskii, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
106. A. Michalke, J. Fluid Mech. 19, 543 (1964).