Fig. 2
Zero-crossing root of the dispersion relation Eq. (1)as a function of radial and vertical wavenumbers at R = 1.01 Req for the model given in Fig. 1. The plane ω = 0 divides perturbations that are stable − ω2< 0 from that leading to an instability − ω2> 0. The red region denotes perturbations with a too large characteristic scale that can not be accommodated in the disk 
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