Suppression of instability in strongly coupled dusty plasmas with ion flow

The instability of low-frequency longitudinal modes in strongly coupled dus ty plasmas with an ion flow is investigated. The dust charging relaxation i s taken into account. it is found that when the ion flow is strong enough, the suppression, even disappearance, of instability can occur. Similar to t hat of the real frequency of waves, the imaginary part of waves also exhibi ts a transition, which arises from the sensitive dependences on the system parameters and their competition.