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 …

In this paper we study the large time behavior of regular solutions to a nematic liquid crystal
system in Sobolev spaces H^m(R^3) for m≧0. We obtain optimal decay rates in H^m(R^3) …

This paper studies the asymptotic behavior of smooth solutions to the generalized Hall-
magneto-hydrodynamics system (1.1) with one single diffusion on the whole space R 3. We …

In this paper, we first show the global existence, uniqueness and regularity of weak solutions
for the Navier–Stokes–Voigt equations in R 3. Then we combine the Fourier splitting method …

In this article, we study the strong well-posedness, stability and optimal control of an
incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of …

This paper discusses the large time behaviors of solutions for a class of incompressible third
grade fluid equations in R 3. Using the Fourier splitting method of Schonbek, the authors …

In this paper, we investigate an optimal boundary control problem for a two dimensional
simplified Ericksen–Leslie system modelling the incompressible nematic liquid crystal flows …

In this paper, we investigate the density-dependent incompressible nematic liquid crystal
flows in n-dimensional (n= 2 or 3) bounded domain. The local existence and uniqueness of …

The Cauchy problem for the three-dimensional non-isothermal model for compressible
nematic liquid crystals is considered. Existence of global-in-time smooth solutions is …

We study a PDE system describing the motion of liquid crystals by means of the Q-tensor
description for the crystals coupled with the incompressible Navier–Stokes system. Using …