The topological nature of boundary value problems for force-free magnetic fields

Astrophysical Journal

Volumn 668, Issue 1 I, 2007, Pages 557-570

  Low, B C ^a   Flyer, N ^b  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

MHD; Sun: corona; Sun: magnetic fields

Indexed keywords

EID: 35348843919     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/520503     Document Type: Article

References (72)

1. Aly, J. J. 1984, ApJ, 283, 349
2. _. 1987, in Insterstellar Magnetic Fields, ed. R. Beck. & R. Grave (Berlin: Springer), 240
3. _. 1989, Sol. Phys., 120, 19
4. _. 2005, A&A, 429, 15
5. Amari, T., Aly, J. J., Luciani, J. F., Boulmezaoud, T. Z., & Mikic, Z. 1997, Sol. Phys., 174, 129
6. Amari, T., Boulmezaoud, T., & Maday, T. Z. 1998, A&A, 339, 252
7. Amari, T., Boulmezaoud, T., & Mikic, Z. 1999, A&A, 350, 1051
8. Aschwanden, M. 2005, Physics of the Solar Corona (New York: Springer)
9. Berger, M. A. 1985, ApJS, 59, 433
10. Bhattacharjee, A., & Dewar, R. L. 1982, Phys. Fluids, 25, 887
11. Bleybel, A., Amari, T., van Driel-Gesztelyi, L., & Leka, K. D. 2002, A&A, 395, 685
12. Casini, R., & Judge, P. G. 1999, ApJ, 522, 524
13. Chandrasekhar, C., & Kendall, P. C. 1957, ApJ, 126, 457
14. Chandrasekhar, S. 1961, Hydrodynamic and Hydromagnetic Stability (Oxford: Clarendon)
15. Chiu, Y. T., & Hilton, H. H. 1977, ApJ, 212, 873
16. Courant, R., & Hubert, D. 1962, Methods of Mathematical Physics, Vol. 2 (New York: Interscienoe)
17. Dombre, T., Frisch, U., Greene, J. M., Henon, M., Mehr, A., & Soward, A. M. 1986, J. Fluid Mech., 167, 353
18. Flyer, N., Fornberg, B., Thomas, S., & Low, B. C. 2004, ApJ, 606, 1210
19. Grad, H. 1967, Phys. Fluids, 10, 137
20. Judge, P. G., Low, B. C., & Casini, R. 2006, ApJ, 651, 1229
21. Judge, P. G., et al. 2002, ApJ, 576, L157
22. Klimchuk, J. A., Canfield, R. C., & Rhoads, J. E. 1992, ApJ, 385, 327
23. Kruskal, M. D., & Kulsrud, R. M. 1958, Phys. Fluids, 1, 265
24. Kuhn, J. R., et al. 1999, ApJ, 521, 478
25. Lites, B. W. 2005, ApJ, 622, 1275
26. Low, B. C. 1987, ApJ, 323, 358
27. _. 1989, ApJ, 340, 558
28. _. 1990, ARA&A, 28, 491
29. _. 1992, A&A, 253, 311
30. _. 1996, Sol. Phys., 167, 217
31. _. 2005, ApJ, 625, 451
32. _. 2006a, ApJ, 646, 1288
33. _. 2006b, ApJ, 649, 1064
34. Low, B. C., & Berger, M. A. 2003, ApJ, 589, 644
35. Low, B. C., & Lou, Y. Q. 1990, ApJ, 352, 343
36. Low, B. C., & Wolfson, R. 1988, ApJ, 324, 574
37. Metcalf, T. R., et al. 1995, ApJ, 439, 474
38. _. 2006, Sol. Phys., 237, 267
39. Moffatt, H. K. 1985, J. Fluid Mech., 159, 359
40. _. 1986, J. Fluid Mech., 166, 359
41. _. 1987, in Advances in Turbulence, ed. G. Compte-Bellot & J. Maethieu (New York: Springer), 228
42. Moon, Y. J., Choe, G. S., & Yoon, H. S. 2002, ApJ, 568, 422
43. Ng, C. S., & Bhattacharjee, A. 1998, Phys. Plasmas, 5, 4028
44. Parker, E. N. 1972, ApJ, 174, 499
45. _. 1979, Cosmical Magnetic Fields (New York: Oxford Univ. Press)
46. _. 1986a, Geophys. Astrophys. Fluid Dyn., 34, 243
47. _. 1986b, Geophys. Astrophys. Fluid Dyn., 35, 277
48. _. 1988, ApJ, 330, 474
49. _. 1989, Geophys. Astrophys. Fluid Dyn., 45, 169
50. _.1991, Phys. Fluids B, 3, 2652
51. _. 1994, Spontaneous Current Sheets in Magnetic Fields (New York: Oxford Univ. Press)
52. _. 1996, ApJ, 471, 485
53. Regnier, S., Amari, T., & Kersale, E. 2002, A&A, 392, 1119
54. Roberts, P. H. 1967, An Introduction to Magnetohydrodynamics (New York: American Elsevier)
55. Rosner, R., et al. 1989, Geophys. Astrophys. Fluid Dyn., 48, 251
56. Sakurai, T. 1989, Space Sci. Rev., 51, 11
57. Scheper, R. A., & Hassam, A. B. 1999, ApJ, 511, 976
58. Schrijver, C. J., & Title, A. M. 2003, ApJ, 597, L165
59. Seehafer, N. 1978, Sol. Phys., 58, 215
60. Socas-Navarro, H. 2005, ApJ, 633, L57
61. Socas-Navaro, H., et al. 2006, Sol. Phys., 235, 55
62. Stern, D. P. 1976, Rev. Geophys. Space Phys., 14, 199
63. Sweet, P. A. 1969, ARA&A, 7, 149
64. Syrovatskii, S. I. 1981, ARA&A, 19, 163
65. Titov, V. S., & Demoulin, P. 1999, A&A, 351, 707
66. van Ballegooijen, A. A. 1985, ApJ, 298, 421
67. _. 1988, Geophys. Astrophys. Fluid Dyn., 41, 181
68. Vekstein, G., Priest, E. R., & Amari, T. 1991, A&A, 243, 492
69. Wu, S. T., Sun, M. T., Chang, H. M., Hagyard, M. J., & Gary, G. A. 1990, ApJ, 362, 698
70. Zhang, M., Flyer, N., & Low, B. C. 2006, ApJ, 644, 575
71. Zhang, M., & Low, B. C. 2005, ARA&A, 43, 103
72. Zweibel, E. G., & Li, H. 1987, ApJ, 312, 423