Table 3: Critical value of $\alpha$ for damping of the fundamental mode, and angular frequency (when $\alpha =-1.5$ ) as a function of the Mach number. For $\alpha > \alpha _{\rm cr}$ the fundamental mode is damped, though the shock may still be unstable to higher order modes, such as the first overtone ( cf. Chevalier & Imamura 1982; Strickland & Blondin 1995).
M $\alpha _{\rm cr}$ $\omega_{\rm f}\;(\alpha=-1.5)$

1.40 -1.8 0.73

2.00 -1.2 0.51

3.00 -0.7 0.32

5.00 -0.4 0.22

**Table 3:** Critical value of $\alpha$ for damping of the fundamental mode, and angular frequency (when $\alpha =-1.5$ ) as a function of the Mach number. For $\alpha > \alpha _{\rm cr}$ the fundamental mode is damped, though the shock may still be unstable to higher order modes, such as the first overtone ( cf. Chevalier & Imamura 1982; Strickland & Blondin 1995).
M	$\alpha _{\rm cr}$	$\omega_{\rm f}\;(\alpha=-1.5)$
1.40	-1.8	0.73
2.00	-1.2	0.51
3.00	-0.7	0.32
5.00	-0.4	0.22

Source LaTeX | All tables | In the text

	1 Introduction
	2 Properties of low Mach number shocks
	3 Hydrodynamical simulations
	4 Discussion
	5 Summary
	References