Global existence of weak solutions to the two‐dimensional nematic liquid crystal flow with partially free boundary
Abstract We consider a nematic liquid crystal flow with partially free boundary in a smooth bounded domain in . We prove regularity estimates and the global existence of weak solutions enjoying partial regularity properties, and a uniqueness result.
Authors
- Yantao Wu (ORCID: https://orcid.org/0000-0003-2360-9647)
- Yifu Zhou (ORCID: https://orcid.org/0000-0001-7651-6335)
- Yannick Sire
Institutions
- Johns Hopkins University (US)
- Wuhan University (CN)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2024-10-25
- DOI
- https://doi.org/10.1112/jlms.70008
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Fundamental Research Funds for the Central Universities