Case	Power-law rate	Range of $c_S$	Behaviour	References
No. 1	$p>1$	$0<c_S<1/\sqrt{3}$	Stable	[31]
No. 2	$p=1$	$c_S=1/\sqrt{3}$	Shocks	[31]
No. 3	$p=1$	$0<c_S<1/\sqrt{3}$	Stable (irrot.)	[13]
No. 4	$p>\frac{1}{2}$	$c_S=0$	Stable	[31]