PreprintCC BY 4.0arXiv
Global existence of solutions to the 2D compressible nematic liquid crystal flows with large initial data and vacuum
Abstract
For periodic initial data that allow vacuum, we establish the global-in-time existence of solutions to the 2D compressible nematic liquid crystal flows, under the condition that the bulk viscosity coefficient is sufficiently large and a geometric angular constraint is imposed on the initial direction field. Our results remain valid for arbitrarily large initial energy. Furthermore, under appropriate additional assumptions imposed on the pressure, we also establish the uniqueness of the constructed solutions.
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BibTeX
@misc{liu2026global,
title = {{Global existence of solutions to the 2D compressible nematic liquid crystal flows with large initial data and vacuum}},
author = {Qiao Liu and Qingkui Ma and Fuyi Xu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07725},
eprint = {2611.07725},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07725},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global existence of solutions to the 2D compressible nematic liquid crystal flows with large initial data and vacuum
AU - Qiao Liu
AU - Qingkui Ma
AU - Fuyi Xu
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07725
UR - https://arxiv.org/abs/2611.07725
AB - For periodic initial data that allow vacuum, we establish the global-in-time existence of solutions to the 2D compressible nematic liquid crystal flows, under the condition that the bulk viscosity coefficient is sufficiently large and a geometric angular constraint is imposed on the initial direction field. Our results remain valid for arbitrarily large initial energy. Furthermore, under appropriate additional assumptions imposed on the pressure, we also establish the uniqueness of the constructed solutions.
ER -