Linear and non-linear theory of a parametric instability of hydrodynamic warps in Keplerian discs

Monthly Notices of the Royal Astronomical Society

Volumn 318, Issue 4, 2000, Pages 1005-1016

  Gammie, Charles F ^a,b,c   Goodman, Jeremy ^a,d   Ogilvie, Gordon I ^a,e,f  

^a ISAAC NEWTON INSTITUTE FOR MATHEMATICAL SCIENCES   (United Kingdom)

^b HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^d Peyton Hall   (United States)

^e UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^f MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

Author keywords

Accretion, accretion discs; Hydrodynamics; Instabilities; Turbulence; Waves

Indexed keywords

ASTROPHYSICS; HYDRODYNAMICS;

ACCRETION: ACCRETION DISKS; FLOQUET THEORY; KEPLERIAN DISKS; LINEAR DEVELOPMENT; MODE COUPLING; NON LINEAR; NONLINEAR THEORY; PARAMETRIC INSTABILITIES; TWO-LINE; WARPING MODES;

STABILITY;

EID: 0042406466     PISSN: 00358711     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-8711.2000.03669.x     Document Type: Article

References (31)

1. Abramowitz M., Stegun I. A., 1965, Handbook of Mathematical Functions. Dover, New York
2. Balbus S. A., Hawley J. F., 1998, Rev. Mod. Phys., 70, 1
3. Bayly B. J., 1986, Phys. Rev. Lett., 57, 2160
4. Bender C. M., Orszag S. A., 1978, Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill, New York
5. Craik A. D. D., Criminale W. O., 1986, Proc. R. Soc. Lond. A, 406, 13
6. Gammie C. F., 1996, ApJ, 457, 355
7. Gammie C. F., Menou K., 1998, ApJ, 492, 75
8. Gammie C. F., Narayan R., Blandford R., 1999, ApJ, 516, 177
9. Goldreich P., Lynden-Bell D., 1965, MNRAS, 130, 125
10. Goodman J., 1993, ApJ, 406, 596
11. Hawley J. F., Gammie C. F., Balbus S. A., 1995, ApJ, 440, 742
12. Hawley J. F., Stone J. M., 1995, Comput. Phys. Commun., 89, 127
13. Herrnstein J., 1997, PhD thesis, Harvard Univ.
14. Katz J. I., 1973, Nat, 246, 87
15. Kelvin, Lord, 1887, Phil. Mag., 24, 188
16. Kumar P., Goodman J., 1996, ApJ, 466, 946
17. Kumar S., Coleman C. S., 1993, MNRAS, 260, 323
18. Lubow S. H., Pringle J. E., 1993, ApJ, 409, 360
19. Maloney P., Begelman M., Pringle J., 1996, ApJ, 472, 582
20. Maoz E., 1995, ApJ, 447, L91
21. Miyoshi M., Moran J., Herrnstein J., Greenhill L., Nakai N., Diamond P., Inoue M., 1995, Nat, 373, 127
22. Ogilvie G. I., 1999, MNRAS, 304, 557
23. Ogilvie G. I., Lubow S. H., 1999, ApJ, 515, 767
24. Papaloizou J. C. B., Lin D. N. C., 1995, ApJ, 438, 841
25. Papaloizou J. C. B., Terquem C., 1995, MNRAS, 274, 987
26. Pringle J. E., 1996, MNRAS, 281, 357
27. Roberts W. J., 1974, ApJ, 187, 575
28. Sagdeev R. Z., Galeev A. A., 1969, Nonlinear Plasma Theory. Benjamin, New York
29. Stone J. M., Norman M. L., 1992, ApJS, 80, 753
30. Tananbaum H., Gursky H., Kellogg E. M., Levinson R., Schreier E., Giacconi R., 1972, ApJ, 174, L143
31. Torkelsson U., Ogilvie G. I., Brandenburg A., Pringle J. E., Nordlund Å, Stein R. F., 2000, MNRAS, in press