Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model
type: Item
instance of: scholarly article
title: Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model
zbMATH Open document ID: 1412.35286
author: Guangwu Wang
author: Boling Guo
published in: Science China. Mathematics
publication date: 2019-03-07T00:00:00Z
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35M11
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 76A15
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 7033411
zbMATH Keywords: viscous quantum magnetohydrodynamic equations
zbMATH Keywords: nematic liquid crystal
zbMATH Keywords: global weak solution
zbMATH Keywords: singular pressure
zbMATH Keywords: smooth solution
zbMATH Keywords: blow-up
MaRDI profile type: Publication
full work available at URL: s11425-017-9165-4
OpenAlex ID: W2791223900
cites work: The quantum hydrodynamics system in two space dimensions
cites work: On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
cites work: Global existence of finite energy weak solutions of quantum Navier-Stokes equations
cites work: On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
cites work: On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
cites work: Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows
cites work: Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
cites work: A note on barotropic compressible quantum Navier-Stokes equations
cites work: Q4399897
cites work: Q5702675
cites work: On the existence of globally defined weak solutions to the Navier-Stokes equations
cites work: Q4339594
cites work: About the barotropic compressible quantum Navier-Stokes equations
cites work: Blow-up of solutions to quantum hydrodynamic models in half space
cites work: Blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb{R}^{d}\)
cites work: Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
cites work: Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
cites work: Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
cites work: Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
cites work: Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
cites work: Global solution to the three-dimensional compressible flow of liquid crystals
cites work: Blow up criterion for compressible nematic liquid crystal flows in dimension three
cites work: Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
cites work: Strong solutions of the compressible nematic liquid crystal flow
cites work: A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations
cites work: On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
cites work: Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
cites work: Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
cites work: Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
cites work: Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
cites work: Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
cites work: Q4389323
cites work: The initial value problem for the equations of motion of viscous and heat-conductive gases
cites work: On the Barotropic Compressible Navier–Stokes Equations
cites work: Chemically reacting mixtures in terms of degenerated parabolic setting
cites work: Q3260749
cites work: Q3159147
cites work: Formation of singularities in solutions to nonlinear hyperbolic equations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
cites work: Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
cites work: Blow-up of the smooth solution to the compressible nematic liquid crystal system
cites work: Q5491528
cites work: Global existence of the three-dimensional viscous quantum magnetohydrodynamic model
cites work: On the flow of chemically reacting gaseous mixture
Wikidata QID: Q130150483
DOI: 10.1007/S11425-017-9165-4
description: scientific article; zbMATH DE number 7033411