On the vanishing elastic limit of compressible liquid crystal material flow

Abstract

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, 𝜂-independent global strong solution is established. Furthermore, for the elastic limit parameter 𝜂 → 0, the vanishing elastic limit is justified by convergence rates in  2 . The obtain results are based on full use of effective viscous flux, the structure of the equations, and the material derivative.