The 3D nematic liquid crystal equations with blow-up criteria in terms of pressure

DOI10.1016/J.NONRWA.2017.08.008zbMath1382.35230OpenAlexW2763080967MaRDI QIDQ1686288

Pei Wang, Qiao Liu

Publication date: 21 December 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.08.008

zbMATH Keywords

blow-up criterianematic liquid crystal flowsanisotropic Lebesgue spaceslocal in time smooth solution

Mathematics Subject Classification ID

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)

Remarks on regularity criteria for the 3d Navier-Stokes equations ⋮ Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces

Cites Work

• Unnamed Item
• Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
• Regularity criteria for the Navier-Stokes equations based on one component of velocity
• 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 solution to the incompressible flow of 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
• A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component
• Liquid crystal flows in two dimensions
• 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
• A regularity criterion for the solution of nematic liquid crystal flows in terms of the \({\dot B_{\infty,\infty}^{-1}}\)-norm
• A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
• Navier-Stokes equations with regularity in one directional derivative of the pressure
• On blow-up criteria for the 3D nematic liquid crystal flows
• Blow up Criterion for Nematic Liquid Crystal Flows
• Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
• On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces
• Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• On the regularity of the solutions of the Navier–Stokes equations via one velocity component
• Regularity criteria for the three-dimensional Navier-Stokes equations
• 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
• 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: The 3D nematic liquid crystal equations with blow-up criteria in terms of pressure