Dehua Wang, Xiang Xu, Cheng Yu
Published 2013-07-27Version 1
In this paper, we study a coupled compressible Navier-Stokes/Q-tensor system modeling the nematic liquid crystal flow in a three-dimensional bounded spatial domain. The existence and long time dynamics of globally defined weak solutions for the coupled system are established, using weak convergence methods, compactness and interpolation arguments. The symmetry and traceless properties of the Q-tensor play key roles in this process.
Global Strong and Weak Solutions to Nematic Liquid Crystal Flow in Two Dimensions
On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in $\Bbb R^N$
Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces
![QR code for arXiv:1307.7316 [math.AP]](http://oss.arxitics.com/images/favicon.svg)