Strong solutions to the density-dependent incompressible nematic liquid crystal flows
type: Item
instance of: scholarly article
title: Strong solutions to the density-dependent incompressible nematic liquid crystal flows
zbMATH Open document ID: 1333.35193
author: Jincheng Gao
author: Qiang Tao
author: Zheng-An Yao
published in: Journal of Differential Equations
publication date: 2015-12-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1502.00246
review text: This paper study the incompressible nematic liquid crystal flows in \(n\)-dimensional (\(n = 2 \text{ or }3\)) bounded domains with a viscosity coefficient depending on the density. The authors first show the local existence and uniqueness of a strong solution. The some blowup criterions of strong solution are established in terms of the gradient of density and Serrin-type condition for a velocity field in the 3-dimensional case, and only in terms of the gradient of density in the 2-dimensional case.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A15
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6522111
zbMATH Keywords: incompressible nematic liquid crystal flows
zbMATH Keywords: density-dependent
zbMATH Keywords: strong solutions
zbMATH Keywords: blowup criterion
MaRDI profile type: Publication
OpenAlex ID: W2964137985
arXiv ID: 1502.00246
cites work: Hydrostatic theory of liquid crystals
cites work: Some constitutive equations for liquid crystals
cites work: Existence and partial regularity of static liquid crystal configurations
cites work: Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
cites work: Nonparabolic dissipative systems modeling the flow of liquid crystals
cites work: Partial regularity of the dynamic system modeling the flow of liquid crystals
cites work: Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
cites work: Long-time behavior for a hydrodynamic model on nematic liquid crystal flows with asymptotic stabilizing boundary condition and external force
cites work: Blow up Criterion for Nematic Liquid Crystal Flows
cites work: Q4893762
cites work: Unique solvability for the density-dependent Navier-Stokes equations
cites work: A Blow-Up Criterion for the Nonhomogeneous Incompressible Navier--Stokes Equations
cites work: A blow-up criterion for classical solutions to the compressible Navier-Stokes equations
cites work: Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
cites work: Global weak solution to the flow of liquid crystals system
cites work: Global existence of the finite energy weak solutions to a nematic liquid crystals model
cites work: Q3404857
cites work: Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals
cites work: Solutions of incompressible hydrodynamic flow of liquid crystals
cites work: Finite-time blow-up of the heat flow of harmonic maps from surfaces
cites work: Global solution to the incompressible flow of liquid crystals
cites work: Global strong solution to the density-dependent incompressible flow of liquid crystals
cites work: Global strong solutions to the inhomogeneous incompressible nematic liquid crystal flow
cites work: Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions
cites work: Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
cites work: Strong solutions of the compressible nematic liquid crystal flow
cites work: Blow up criterion for compressible nematic liquid crystal flows in dimension three
cites work: A Serrin criterion for compressible nematic liquid crystal flows
cites work: Global weak solution and large-time behavior for the compressible flow of liquid crystals
cites work: Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
cites work: Uniform well-posedness and low Mach number limit to the compressible nematic liquid crystal flows in a bounded domain
cites work: Global strong solution to the 2D nonhomogeneous incompressible MHD system
cites work: One new blowup criterion for the 2D full compressible Navier-Stokes system
cites work: Q5562267
cites work: Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
DOI: 10.1016/J.JDE.2015.10.047
description: scientific article