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=Key References= * [http://adsabs.harvard.edu/abs/1976ApJ...207..962F Fishbone & Moncrief (1976), ApJ, 207, 962] — ''Relativistic fluid disks in orbit around Kerr black holes'' * [http://adsabs.harvard.edu/abs/1984MNRAS.208..721P Papaloizou & Pringle (1984), MNRAS, 208, 721] — ''The dynamical stability of differentially rotating discs with constant specific angular momentum'' * [http://adsabs.harvard.edu/abs/1985MNRAS.213..799P Papaloizou & Pringle (1985), MNRAS, 213, 799] — ''The dynamical stability of differentially rotating discs. II.'' * [http://adsabs.harvard.edu/abs/1987MNRAS.225..267P Papaloizou & Pringle (1987), MNRAS, 225, 267] — ''The dynamical stability of differentially rotating discs. III.'' * [http://adsabs.harvard.edu/abs/1985MNRAS.213P...7G Goldreich & Narayan (1985), MNRAS, 213, 7] — ''Non-axisymmetric instability in thin discs'' * [http://adsabs.harvard.edu/abs/1986MNRAS.221..339G Goldrich, Goodman & Narayan (1986), MNRAS, 221, 339] — ''The stability of accretion tori. I. -- Long-wavelength modes of slender tori'' * [http://adsabs.harvard.edu/abs/1987MNRAS.225..695G Goodman, Narayan, & Goldreich (1987), MNRAS, 225, 695] — ''The stability of accretion tori. II -- Non-linear evolution to discrete planets'' * [http://adsabs.harvard.edu/abs/1988MNRAS.231...97G Goodman & Narayan (1988), MNRAS, 231, 97] — ''The stability of accretion tori. III -- The effect of self-gravity'' * [http://adsabs.harvard.edu/abs/1992ApJ...388..451C Christodoulou & Narayan (1992), ApJ, 388, 451] — ''The stability of accretion tori. IV. Fission and fragmentation of slender, self-gravitating annuli'' * [http://adsabs.harvard.edu/abs/1993ApJ...412..696C Christodoulou (1993), ApJ, 412, 696] — ''The stability of accretion tori. V. Unstable modes and avoided crossings in extended, self-gravitating annuli'' * [http://adsabs.harvard.edu/abs/1986MNRAS.221..279R Robertson & Frank (1986), MNRAS, 221, 279] — ''A numerical study of two-dimensional accretion flows'' * [http://adsabs.harvard.edu/abs/1988MNRAS.232....1F Frank & Robertson (1988), MNRAS, 232, 1] — ''Numerical studies of the dynamical stability of differentially rotating tori'' * [http://adsabs.harvard.edu/abs/1985MNRAS.216..553B Blaes (1985), MNRAS, 216, 553] — ''Oscillations of slender tori'' * [http://adsabs.harvard.edu/abs/1986PThPh..75..251K Kojima (1986), PThPh, 75, 251] — ''The Dynamical Stability of a Fat Disk with Constant Specific Angular Momentum'' * [http://adsabs.harvard.edu/abs/1989MNRAS.236..589K Kojima (1989), MNRAS, 236, 589] — ''Non-axisymmetric unstable modes of a differentially rotating torus'' * [http://adsabs.harvard.edu/abs/1986MNRAS.223..859H Hanawa (1986), MNRAS, 223, 859] — ''Dynamical instability of a homoentropic rotating torus and an upper limit on the growth rate'' * [http://adsabs.harvard.edu/abs/1987MNRAS.225..677H Hawley (1987), MNRAS, 225, 677] — ''Non-linear evolution of a non-axisymmetric disc instability'' * [http://adsabs.harvard.edu/abs/1988ApJ...326..277B Blaes & Hawley (1988), ApJ, 326, 277] — ''Nonaxisymmetric disk instabilities -- A linear and nonlinear synthesis'' * [http://adsabs.harvard.edu/abs/1990ApJ...356..580H Hawley (1990), ApJ, 356, 580] — ''Nonaxisymmetric instabilities in a slender torus -- Two- and three-dimensional simulations'' * [http://adsabs.harvard.edu/abs/1988MNRAS.231..739B Boss (1988), MNRAS, 231, 739] — ''Non-axisymmetric instability in three-dimensional accretion toroids'' * [http://adsabs.harvard.edu/abs/1989ApJ...344..645P Papaloizou & Lin (1989), ApJ, 344, 645] — ''Nonaxisymmetric instabilities in thin self-gravitating rings and disks'' * [http://adsabs.harvard.edu/abs/1991MNRAS.248..353P Papaloizou & Savonije (1991), MNRAS, 248, 353] — ''Instabilities in self-gravitating gaseous discs'' * [http://adsabs.harvard.edu/abs/1995ARA%26A..33..505P Papaloizou & Lin (1995), <font color="red">Annual Reviews of Astronomy & Astrophysics</font>, 33, 505] — ''Theory of Accretion Disks I: Angular Momentum Transport Processes'' * [http://adsabs.harvard.edu/abs/1990ApJ...361..394T Tohline & Hachisu (1990), ApJ, 361, 394] — ''The breakup of self-gravitating rings, tori, and thick accretion disks'' * [http://adsabs.harvard.edu/abs/1994ApJ...420..247W Woodward, Tohline & Hachisu (1994), ApJ, 420, 247] — ''The stability of thick, self-gravitating disks in protostellar systems'' * [http://adsabs.harvard.edu/abs/1997ApJS..108..471A Andalib, Tohline, & Christodoulou (1997), ApJS, 108, 471] — ''A Survey of the Principal Modes of Nonaxisymmetric Instability in Self-Gravitating Accretion Disk Models'' * [http://adsabs.harvard.edu/abs/2011Ap%26SS.334....1H Hadley & Imamura (2011), Ap&SS, 334, 1] — ''Nonaxisymmetric instabilities of self-gravitating disks. I. Toroids'' * [http://adsabs.harvard.edu/abs/2014Ap%26SS.353..191H Hadley, Fernandez, Imamura, Keever, Tumblin, & Dumas (2014), Ap&SS, 353, 191]— ''Nonaxisymmetric instabilities in self-gravitating disks. II. Linear and quasi-linear analysis'' * [http://adsabs.harvard.edu/abs/2015Ap%26SS.359...10H Hadley, Dumas, Imamura, Keever & Tumblin (2015), Ap&SS, 359, 10]— ''Nonaxisymmetric instabilities in self-gravitating disks. III. Angular momentum transport'' ---- * [http://adsabs.harvard.edu/abs/1985A%26A...149..487B Balbinski (1985), AA, 149, 487] — ''The character of the normal mode equationos for rotating perfect fluids'' * [http://adsabs.harvard.edu/abs/1990MNRAS.245..614L P. J. Luyten (1990), MNRAS, 245, 614] — ''Non-Axisymmetric Dynamical Instability of Differentially Rotating Self-Gravitating Masses'' * [http://adsabs.harvard.edu/abs/1993GApFD..70..235D Bubrulle, Chomaz, Kumar, & Rieutord (1993), Geophysical and Astrophysical Fluid Dynamics, 70, 235] — ''Non linear stability of slender accretion disks by bifurcation method'' * [http://adsabs.harvard.edu/abs/1995ChA%26A..19..507L Liu & Wang (1995), ChA&A, 19, 507] — ''A numerical solution of the dynamical instability of a thin accretion torus'' * [http://adsabs.harvard.edu/abs/2002RSPSA.458..359B Beyer (2002), RSPSA, 458, 359] — ''A framework for perturbations and stability of differentially rotating stars'' * [http://adsabs.harvard.edu/abs/2004MNRAS.350..927W Watts, Andersson, & Williams (2004), MNRAS, 350, 927] — ''The oscillation and stability of differentially rotating spherical shells: the initial-value problem'' * [http://adsabs.harvard.edu/abs/2015MNRAS.446..555P Passamonti & Andersson (2015), MNRAS, 446, 555] — ''The intimate relation between the low T/W instability and the corotation point''
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