Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model
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Publication:1729959
DOI10.1007/s11425-017-9165-4zbMath1412.35286OpenAlexW2791223900MaRDI QIDQ1729959
Publication date: 7 March 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-017-9165-4
blow-upglobal weak solutionsmooth solutionnematic liquid crystalsingular pressureviscous quantum magnetohydrodynamic equations
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Initial value problems for PDEs of mixed type (35M11)
Cites Work
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- Blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb{R}^{d}\)
- Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows
- Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
- A remark on weak solutions to the barotropic compressible quantum Navier-Stokes equations
- Strong solutions of the compressible nematic liquid crystal flow
- The quantum hydrodynamics system in two space dimensions
- On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids
- About the barotropic compressible quantum Navier-Stokes equations
- A note on barotropic compressible quantum Navier-Stokes equations
- Formation of singularities in solutions to nonlinear hyperbolic equations
- Compact sets in the space \(L^ p(0,T;B)\)
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
- On the flow of chemically reacting gaseous mixture
- Blow-up of the smooth solution to the compressible nematic liquid crystal system
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- Blow up criterion for compressible nematic liquid crystal flows in dimension three
- Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
- Global existence of finite energy weak solutions of quantum Navier-Stokes equations
- Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
- On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
- Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
- Global Solution to the Three-Dimensional Compressible Flow of Liquid Crystals
- Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
- Blow-up of solutions to quantum hydrodynamic models in half space
- Global existence of the three-dimensional viscous quantum magnetohydrodynamic model
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- On the Barotropic Compressible Navier–Stokes Equations
- Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
- On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
- Chemically reacting mixtures in terms of degenerated parabolic setting
- On the existence of globally defined weak solutions to the Navier-Stokes equations
