Global Existence of Weak Solutions to the Two Dimensional Nematic Liquid Crystal Flow with Partially Free Boundary
- Resource Type
- Working Paper
- Authors
- Sire, Yannick; Wu, Yantao; Zhou, Yifu
- Source
- Subject
- Mathematics - Analysis of PDEs
35
- Language
We consider a nematic liquid crystal flow with partially free boundary in a smooth bounded domain in $\mathbb{R}^2$. We prove regularity estimates and the global existence of weak solutions enjoying partial regularity properties, and a uniqueness result.
Comment: 36 pages