BKM's criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index
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Publication:4631215
DOI10.22436/jnsa.010.06.17zbMath1412.35274OpenAlexW2624971257MaRDI QIDQ4631215
Publication date: 24 April 2019
Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22436/jnsa.010.06.17
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)
Related Items (5)
Blow-up criterion for the 3D nematic liquid crystal flows via one velocity and vorticity components and molecular orientations ⋮ Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space ⋮ Blow up criteria for three-dimensional incompressible Navier-Stokes-Landau-Lifshitz system in the whole space ⋮ Two regularity criteria of solutions to the liquid crystal flows ⋮ Note on global regular solution to the 3D liquid crystal equations
Cites Work
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- Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
- Solutions of incompressible hydrodynamic flow of liquid crystals
- On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals
- Global solution to the incompressible flow of liquid crystals
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Hydrostatic theory of liquid crystals
- 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
- Existence and partial regularity results for the heat flow for harmonic maps
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Bilinear estimates in \(BMO\) and the Navier-Stokes equations
- Existence of solutions for the Ericksen-Leslie system
- A regularity criterion for the solution of nematic liquid crystal flows in terms of the \({\dot B_{\infty,\infty}^{-1}}\)-norm
- 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
- Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
- Blow up Criterion for Nematic Liquid Crystal Flows
- BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations
- Fourier Analysis and Nonlinear Partial Differential 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
- Nonparabolic dissipative systems modeling the flow of liquid crystals
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