Zero inertia density limit for the hyperbolic system of Ericksen–Leslie's liquid crystal flow with a given velocity. (February 2019)

• Record Type: Journal Article
• Authors: Jiang, Ning; Luo, Yi-Long; Tang, Shaojun
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 590
• Page End: 608
• Publication Date: 2019-02
• Subjects: Ericksen–Leslie model -- Zero inertia density limit -- Well-prepared initial data -- Singular limit; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.023
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Formally when the inertia constant goes to zero, the hyperbolic system of Ericksen–Leslie's liquid crystal flow reduces to the corresponding parabolic system. In this paper, under the assumptions that the initial data are well-prepared and the fluid velocity is given, we justify this limit in the context of classical solutions.