A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity
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Publication:5260955
DOI10.1063/1.3567170zbMath1315.76006OpenAlexW2013555433MaRDI QIDQ5260955
Qiao Liu, Ji-Hong Zhao, Shang-bin Cui
Publication date: 30 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3567170
Related Items (15)
Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space ⋮ Regularity criteria for liquid crystal system involving one derivative component of pressure ⋮ Two regularity criteria of solutions to the liquid crystal flows ⋮ Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow ⋮ Remarks on the regularity for the solutions to liquid crystal flows ⋮ On the Serrin's regularity criterion for the \(\beta\)-generalized dissipative surface quasi-geostrophic equation ⋮ BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations ⋮ An Osgood type regularity criterion for the liquid crystal flows ⋮ Regularity criterion for the nematic liquid crystal flows in terms of velocity ⋮ Two new regularity criteria for nematic liquid crystal flows ⋮ A further note on the regularity criterion for the 3D nematic liquid crystal flows ⋮ Remarks on the regularity criterion for the nematic liquid crystal flows in \(\mathbb{R}^3\) ⋮ Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity ⋮ Note on global regular solution to the 3D liquid crystal equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
- Two regularity criteria for the 3D MHD equations
- Global solution to the three-dimensional incompressible flow of liquid crystals
- A regularity criterion for the nematic liquid crystal flows
- On energetic variational approaches in modeling the nematic liquid crystal flows
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Existence and partial regularity of static liquid crystal configurations
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows
- Sufficient conditions for the regularity to the 3D Navier-Stokes equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Navier-Stokes equations with regularity in one direction
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Approximation of Liquid Crystal Flows
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