Zero inertia density limit for the hyperbolic system of Ericksen-Leslie's liquid crystal flow with a given velocity (Q1729185)

The authors consider a hyperbolic system in three spatial dimensions, which describes incompressible liquid crystal flow and is a special case of the Ericksen-Leslie model. In the low-density limit the system is reduced to a parabolic one. The authors construct initial data in a special way to avoid boundary layers and show that the asymptotic low-density behaviour follows this parabolic simplification.