Convective vs Absolute Instability

Briggs-Bers criterion: absolute instability when saddle point k₀ in complex-k plane has Im(ω)>0. Convective: disturbances grow but are swept away. Absolute: grow at every fixed point.

Parameters

CONVECTIVE
Absolute if: γ > U²/4D
Threshold:
Absolute growth:

Convective: grows in frame
moving at group velocity U