Global Well-Posedness of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum

@misc{lei2026global,
  title = {{Global Well-Posedness of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum}},
  author = {Qinghao Lei and Lu Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.23770},
  eprint = {2609.23770},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23770},
}

TY  - UNPB
TI  - Global Well-Posedness of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum
AU  - Qinghao Lei
AU  - Lu Wang
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.23770
UR  - https://arxiv.org/abs/2609.23770
AB  - We consider the two-dimensional barotropic compressible nematic liquid crystal flows with a planar director in the whole space or in the half-space. Under the assumptions that the shear viscosity is a positive constant and that the bulk viscosity is given by λ(ρ)=ρ^β with β>4/3, we establish the global existence and uniqueness of strong solutions. It should be mentioned that our results are obtained without any restrictions on the size of the initial data and allow for the presence of vacuum. In particular, the initial orientation field is not required to satisfy any geometric angle condition.
ER  -