Local well-posedness of strong solutions to density-dependent liquid crystal system
Analysis of PDEs
2015-12-03 v1
Abstract
In this paper, we study the Cauchy problem to the density-dependent liquid crystal system in . We establish the local existence and uniqueness of strong solutions to this system. In order to overcome the difficulties caused by the high order coupling terms, a biharmonic regularization of the system, as an auxiliary system, is introduced, and we make full use of the intrinsic cancellation properties between the high order coupling terms.
Keywords
Cite
@article{arxiv.1512.00716,
title = {Local well-posedness of strong solutions to density-dependent liquid crystal system},
author = {Huajun Gong and Jinkai Li and Chen Xu},
journal= {arXiv preprint arXiv:1512.00716},
year = {2015}
}