Zero inertia density limit for the hyperbolic system of Ericksen-Leslie's liquid crystal flow with a given velocity
type: Item
instance of: scholarly article
title: Zero inertia density limit for the hyperbolic system of Ericksen-Leslie's liquid crystal flow with a given velocity
zbMATH Open document ID: 1415.35191
author: Ning Jiang
author: Yi-Long Luo
author: Shaojun Tang
published in: Nonlinear Analysis. Real World Applications
publication date: 2019-02-27T00:00:00Z
review text: The authors consider a hyperbolic system in three spatial dimensions, which describes incompressible liquid crystal flow and is a special case of the Ericksen-Leslie model. In the low-density limit the system is reduced to a parabolic one. The authors construct initial data in a special way to avoid boundary layers and show that the asymptotic low-density behaviour follows this parabolic simplification.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A15
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 7030121
zbMATH Keywords: Ericksen-Leslie model
zbMATH Keywords: well-prepared initial data
zbMATH Keywords: singular limit
zbMATH Keywords: low-density limit
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.07.023
OpenAlex ID: W2887889406
cites work: Liquid crystals with variable degree of orientation
cites work: Some constitutive equations for liquid crystals
cites work: Q4982982
cites work: The fluid dynamic limit of the nonlinear boltzmann equation
cites work: Geometric wave equations
Wikidata QID: Q129414255
DOI: 10.1016/J.NONRWA.2018.07.023
description: scientific article; zbMATH DE number 7030121