English

Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one

Analysis of PDEs 2020-06-18 v1

Abstract

We consider the compressible Ericksen-Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density ρ00\rho_0\geq 0 and ρ0Lγ\rho_0\in L^\gamma for γ>1\gamma>1.

Keywords

Cite

@article{arxiv.2006.09480,
  title  = {Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one},
  author = {Huajun Gong and Tao Huang and Changyou Wang},
  journal= {arXiv preprint arXiv:2006.09480},
  year   = {2020}
}