On the vanishing elastic limit of compressible liquid crystal material flow

The initial-boundary value problem (IBVP) for one-dimensional hydrodynamics equations of compressible nematic liquid crystal material is investigated in this research. With large initial data and vacuum, eta$$ \eta $$-independent global strong solution is established. Furthermore, for the elastic limit parameter eta -> 0$$ \eta \to 0 $$, the vanishing elastic limit is justified by convergence rates in L2$$ {\mathcal{L}} circumflex 2 $$. The obtain results are based on full use of effective viscous flux, the structure of the equations, and the material derivative.