Global regularity to the 3D incompressible nematic liquid crystal flows with vacuum. (September 2018)

• Record Type: Journal Article
• Authors: Yu, Haibo; Zhang, Peixin
• Is Part Of: Nonlinear analysis. Volume 174(2018)
• Page Start: 209
• Page End: 222
• Publication Date: 2018-09
• Subjects: 76A15 -- 76D03 -- 35Q35; Global strong solution -- Incompressible nematic liquid crystal equations -- Vacuum; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.04.022
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper is concerned with the 3D incompressible nematic liquid crystal equations in smooth bounded domains, where the velocity u and macroscopic molecular orientation d admit the Dirichlet and Neumann boundary condition respectively. Global-in-time strong solution is proved to exist when the basic energy is suitably small. The initial vacuum is allowed.