Work

Global existence of weak solutions to the two‐dimensional nematic liquid crystal flow with partially free boundary

Year: 2024

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70008

Authors: Yannick Sire, Yantao Wu, Yifu Zhou

Institutions: Johns Hopkins University, Wuhan University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Fundamental Research Funds for the Central Universities

Award: Regularity Versus Singularity Formation in Nonlinear Partial Differential Equations