All Figures

$\begin{figure} \par\includegraphics[width=8cm,clip]{ms3767-f1.eps} \end{figure}$ Figure 1: Dynamics of the perturbation SFH in the Keplerian disk ( left column) and plane shear flow ( right column). From top to bottom: $u_x(t)/(\rho _0 c_{\rm s})$ , $u_y(t)/(\rho _0 c_{\rm s})$ , ${\tilde u_z(t)}/(\rho_0 c_{\rm s})$ , ${\tilde p(t)}/P_0$ , ${{\rm Re}\varrho / \rho _0}$ and ${{\rm Im}\varrho /\rho _0}$ (heavy and thin curves, respectively; same in the plane flow) and normalized energy E(t)/E(0) (the latter on logarithmic scale). Here k_x(0)/k_y=-150, k_z/k_y=0.1. In the AD case: k_H/k_z = 0.1 and $R_{\rm s} = 0.1 \ll R_{g\Omega } = 3/4$ . The initial values the of perturbations correspond to the quasi-two dimensional pure vortex mode. Initial value of the spectral energy density in both cases $E(0)/(\rho _0 c_{\rm s}^2) = 10^{-3}$ .
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{ms3767-f2.eps} \end{figure}$ Figure 2: The same as in Fig. 1, but at k_z/k_y=1. Initial perturbations correspond to the pure vortex mode with equal vertical and azimuthal length-scale.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{ms3767-f3.eps} \end{figure}$ Figure 3: The same as in Fig. 1, but at k_z/k_y=10. Initial perturbations correspond to the pure vortex mode with length-scale much shorter in the vertical then in the azimuthal direction.
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In the text

$\begin{figure} \par\includegraphics[width=7.8cm,clip]{ms3767-f4.eps} \end{figure}$ Figure 4: Maximum normalized energy $E_{\rm max}$ in the plane case, peak energy $E_{\rm peak}$ and plateau energy $E_{\rm plat}$ in the disk case, vs. $\beta \equiv (k_x(0)/ k_y)^2$ , for the same E(0) and k_z = k_y.
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In the text

$\begin{figure} \par\includegraphics[width=8cm,clip]{ms3767-f5.eps} \end{figure}$ Figure 5: E(t)/E(0) vs. t for the Keplerian disk and plane cases, for k_z = k_y and for values of $\beta$ at which $E_{\rm max}/E(0)=E_{\rm plat}/E(0) = 5 \times 10^4$ ( $\beta_{\rm plane} = 2.25 \times 10^3~$ and $\beta _{AD}= 4.41 \times 10^6$ ).
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{ms3767-f2.eps} \end{figure}$	Figure 2: The same as in Fig. 1, but at k_z/k_y=1. Initial perturbations correspond to the pure vortex mode with equal vertical and azimuthal length-scale.
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$\begin{figure} \par\includegraphics[width=7.9cm,clip]{ms3767-f3.eps} \end{figure}$	Figure 3: The same as in Fig. 1, but at k_z/k_y=10. Initial perturbations correspond to the pure vortex mode with length-scale much shorter in the vertical then in the azimuthal direction.
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$\begin{figure} \par\includegraphics[width=7.8cm,clip]{ms3767-f4.eps} \end{figure}$	Figure 4: Maximum normalized energy $E_{\rm max}$ in the plane case, peak energy $E_{\rm peak}$ and plateau energy $E_{\rm plat}$ in the disk case, vs. $\beta \equiv (k_x(0)/ k_y)^2$ , for the same E(0) and k_z = k_y.
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$\begin{figure} \par\includegraphics[width=8cm,clip]{ms3767-f5.eps} \end{figure}$	Figure 5: E(t)/E(0) vs. t for the Keplerian disk and plane cases, for k_z = k_y and for values of $\beta$ at which $E_{\rm max}/E(0)=E_{\rm plat}/E(0) = 5 \times 10^4$ ( $\beta_{\rm plane} = 2.25 \times 10^3~$ and $\beta _{AD}= 4.41 \times 10^6$ ).
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