  In this article, we consider the Ericksen-Leslie's hyperbolic system for
incompressible liquid crystal model without kinematic transport in three
spatial dimensions, which is a nonlinear coupling of incompressible
Navier-Stokes equations with wave map to $\mathbb{S}^2$. Global regularity for
small and smooth initial data near the equilibrium is proved. The proof relies
on the idea of space-time resonance.
