  We consider the inertial Qian-Sheng model of liquid crystals which couples a
hyperbolic-type equation involving a second-order material derivative with a
forced incompressible Navier-Stokes system. We study the energy law and prove a
global well-posedness result. We further provide an example of twist-wave
solutions, that is solutions of the coupled system for which the flow vanishes
for all times.
