A logarithmical blow-up criterion for the 3D nematic liquid crystal flows
From MaRDI portal
Publication:1695589
DOI10.1007/s40840-015-0217-yzbMath1387.76007OpenAlexW2180381083MaRDI QIDQ1695589
Publication date: 7 February 2018
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-015-0217-y
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Blow-up in context of PDEs (35B44)
Related Items (2)
Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space ⋮ A new improved regularity criterion of solutions to Leray-𝛼-MHD model and Navier-Stokes equation
Cites Work
- Unnamed Item
- Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
- Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
- An Osgood type regularity criterion for the liquid crystal flows
- Solutions of incompressible hydrodynamic flow of liquid crystals
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals
- Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Hydrostatic theory of liquid crystals
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Heat flow of harmonic maps whose gradients belong to \(L^{n}_{x}L^{\infty}_{t}\)
- Global solution to the three-dimensional incompressible flow of liquid crystals
- Liquid crystal flows in two dimensions
- 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
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
- Remarks on regularity criteria for the weak solutions of liquid crystals
- Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations
- Logarithmically improved blow-up criteria for the nematic liquid crystal flows
- Logarithmically improved regularity criterion for the nematic liquid crystal flows in \(\dot B_{\infty,\infty}^{-1}\) space
- On blow-up criteria for the 3D nematic liquid crystal flows
- Blow up Criterion for Nematic Liquid Crystal Flows
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Commutator estimates and the euler and navier-stokes equations
- Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Approximation of Liquid Crystal Flows
- Remarks on logarithmical regularity criteria for the Navier–Stokes equations
- Propagation of elastic waves in liquid crystals
- On regularity criteria in terms of pressure for the Navier-Stokes equations in ℝ³
- Regularity criterion in terms of pressure for the Navier-Stokes equations
This page was built for publication: A logarithmical blow-up criterion for the 3D nematic liquid crystal flows