Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
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Publication:324126
DOI10.1016/j.jde.2016.08.044zbMath1364.76015arXiv1507.06471OpenAlexW2519627686MaRDI QIDQ324126
Xin Zhong, Wenke Tan, Qiao Liu, Sheng-quan Liu
Publication date: 10 October 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.06471
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Liquid crystals (76A15)
Related Items (19)
A blow-up criterion for 2D compressible nematic liquid crystal flows in terms of density ⋮ Decay properties for a density-dependent liquid crystal system ⋮ Global well-posedness for the density-dependent incompressible flow of liquid crystals ⋮ Global regularity to the 3D incompressible nematic liquid crystal flows with vacuum ⋮ On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum ⋮ Global regularity to the 2D non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum ⋮ Global regularity to the 2D inhomogeneous liquid crystal flows with large initial data and vacuum ⋮ Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain ⋮ A remark on global strong solution of two‐dimensional inhomogeneous nematic liquid crystal flows in a bounded domain ⋮ Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ A note on a global strong solution to the 2D Cauchy problem of density-dependent nematic liquid crystal flows with vacuum ⋮ Global solution to the 3D inhomogeneous nematic liquid crystal flows with variable density ⋮ Strong solutions to Cauchy problem of 2D compressible nematic liquid crystal flows ⋮ Existence of strong solutions for the generalized nonhomogeneous Navier-Stokes-Landau-Lifshitz system ⋮ Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction ⋮ Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity
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
- 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
- Strong solutions of the compressible nematic liquid crystal flow
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
- Hydrostatic theory of liquid crystals
- Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions
- Liquid crystal flows in two dimensions
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Compensated compactness and Hardy spaces
- Local strong solution and blow-up criterion for the 2D nonhomogeneous incompressible fluids
- Incompressible limit for the compressible flow of liquid crystals
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- Global strong solution to the 2D density-dependent liquid crystal flows with vacuum
- Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions
- Static domain wall solutions for smectic C liquid crystals and nematic liquid crystals in cylindrical geometry
- Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework
- Global strong solutions to the inhomogeneous incompressible nematic liquid crystal flow
- On the temporal decay of solutions to the two-dimensional nematic liquid crystal flows
- Global Strong Solution with Vacuum to the Two Dimensional Density-dependent Navier--Stokes System
- Blow up Criterion for Nematic Liquid Crystal Flows
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Global weak solution to the flow of liquid crystals system
- Density-dependent incompressible viscous fluids in critical spaces
- Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum
- Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
- Global existence of strong solutions for incompressible hydrodynamic flow of liquid crystals with vacuum
- Global strong solution to the density-dependent incompressible flow of liquid crystals
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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