Local well-posedness of strong solutions to density-dependent liquid crystal system. (December 2016)

• Record Type: Journal Article
• Authors: Gong, Huajun; Li, Jinkai; Xu, Chen
• Is Part Of: Nonlinear analysis. Volume 147(2016)
• Page Start: 26
• Page End: 44
• Publication Date: 2016-12
• Subjects: 35D35 -- 35Q35 -- 76A15 -- 76D03; Density-dependent liquid crystal system -- Existence and uniqueness -- Strong solutions -- Ericksen–Leslie system; 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.2016.08.014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we study the Cauchy problem to the density-dependent liquid crystal system in R 3 . We establish the local existence and uniqueness of strong solutions to this system. In order to overcome the difficulties caused by the high order coupling terms, a biharmonic regularization of the system, as an auxiliary system, is introduced, and we make full use of the intrinsic cancellation properties between the high order coupling terms.