Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three

Junyu Lin; Baishun Lai; Changyou Wang

Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three

Analysis of PDEs 2014-08-20 v1

Authors: Junyu Lin , Baishun Lai , Changyou Wang

Abstract

In this paper, we consider the initial and boundary value problem of a simplified compressible nematic liquid crystal flow in $\Omega\subset\mathbb R^3$ . We establish the existence of global weak solutions, provided the initial orientational director field $d_0$ lies in the hemisphere $\mathbb S^2_+$ .

Keywords

compressible nematic liquid crystal flow global weak solutions finite energy initial-boundary value problem orientational director field

Cite

@article{arxiv.1408.4149,
  title  = {Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three},
  author = {Junyu Lin and Baishun Lai and Changyou Wang},
  journal= {arXiv preprint arXiv:1408.4149},
  year   = {2014}
}

Comments

27 pages

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