The study of hydrodynamics of liquid crystals leads to many fascinating mathematical
problems, which has prompted various interesting works recently. This article reviews the …

We study strong solutions of the simplified Ericksen–Leslie system modeling compressible
nematic liquid crystal flows in a domain Ω⊂ R3. We first prove the local existence of a …

The three-dimensional equations for the compressible flow of liquid crystals are considered.
An initial-boundary value problem is studied in a bounded domain with large data. The …

In this paper, we investigate a coupled compressible Navier–Stokes/Allen–Cahn system
which describes the motion of a mixture of two viscous compressible fluids. We prove the …

In this paper, we consider the initial and boundary value problem of a simplified
compressible nematic liquid crystal flow in Ω⊂\mathbbR^3. We establish the existence of …

In this paper, we investigate the global existence and long-time behavior of classical
solution for the compressible nematic liquid crystal flows in three-dimensional whole space …

We consider the equation modeling the compressible hydrodynamic flow of liquid crystals in
one dimension. In this paper, we establish the existence of a weak solution (ρ, u, n) of such a …

The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals
is considered. Existence and uniqueness of the global strong solution are established in …

This paper is concerned with a simplified hydrodynamic flow modeling the three-
dimensional motion of compressible, nematic liquid crystal materials. The authors establish …

This paper is concerned with the incompressible limit of the compressible hydrodynamic
flow of liquid crystals with periodic boundary conditions in RN (N= 2, 3). The local and global …