OEMs typically provide a "min flow" below which operation is not recommended.
There is a clear distinction between centrifugal and axial pumps, most of the concepts expressed here refer to centrifugal pumps. Just one comment: shut-off head IS NOT the shut off pressure, the shut off pressure is the result of adding the head converted to pressure (divide head by specific weight of fluid) plus (or minus) static head also converted plus hydraulic pressure + any dynamic (transient) effects caused by the operation (water hammer, cavitation, flashing, etc).
what is important to know is that the oem provides data for their pump ONLY, the user must integrate the pump data into the system under consideration
saludos.
a.