Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system
Analysis of PDEs
2013-07-30 v1
Abstract
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.
Cite
@article{arxiv.1307.7316,
title = {Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system},
author = {Dehua Wang and Xiang Xu and Cheng Yu},
journal= {arXiv preprint arXiv:1307.7316},
year = {2013}
}