Liquid crystal flows in two dimensions
From MaRDI portal
Publication:993333
DOI10.1007/s00205-009-0278-xzbMath1346.76011OpenAlexW1994197122MaRDI QIDQ993333
Changyou Wang, Junyu Lin, Fang-Hua Lin
Publication date: 10 September 2010
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-009-0278-x
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)
Related Items (only showing first 100 items - show all)
Global strong solution for the incompressible flow of liquid crystals with vacuum in dimension two ⋮ Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor ⋮ Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows ⋮ A blow-up criterion for 2D compressible nematic liquid crystal flows in terms of density ⋮ Blow up criteria for the incompressible nematic liquid crystal flows ⋮ Decay properties for a density-dependent liquid crystal system ⋮ Existence of solutions to incompressible biaxial nematic liquid crystals flows ⋮ Some Analytical Issues for Elastic Complex Fluids ⋮ Finite time singularity of the nematic liquid crystal flow in dimension three ⋮ Blow up Criterion for Nematic Liquid Crystal Flows ⋮ A new regularity criterion for strong solutions to the Ericksen–Leslie system ⋮ Regularity of solutions to the liquid crystal flows with rough initial data ⋮ A free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimension ⋮ Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three ⋮ Defects in Liquid Crystal Flows ⋮ On decay estimates of the 3D nematic liquid crystal flows in critical Besov spaces ⋮ Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions ⋮ The existence and blow-up criterion of liquid crystals system in critical Besov space ⋮ Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3 ⋮ Global solution to the 3-D density-dependent incompressible flow of liquid crystals ⋮ A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method ⋮ Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals ⋮ On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum ⋮ Weak solution of a stochastic 2D Ericksen–Leslie model driven by jump noise ⋮ Nematic Liquid Crystals in Lipschitz Domains ⋮ A new approach to the 3D liquid crystal system with large vertical velocity in the critical \(L^2\) framework ⋮ Nonuniqueness of nematic liquid crystal flows in dimension three ⋮ Time decay rate of global strong solutions to nematic liquid crystal flows in \(\mathbb{R}_+^3\) ⋮ \(L^{3,\infty}\) solutions of the liquid crystals system ⋮ Weak solutions of non-isothermal nematic liquid crystal flow in dimension three ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ On some large global solutions to the incompressible inhomogeneous nematic liquid crystal flows ⋮ Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three ⋮ On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids ⋮ Global solvability of the inhomogeneous Ericksen–Leslie system with only bounded density ⋮ Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum ⋮ A regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flows ⋮ Anisotropic nematic liquid crystals in an applied magnetic field ⋮ Nematic liquid crystal flow with partially free boundary ⋮ The Landau--Lifshitz Equation of the Ferromagnetic Spin Chain and Oseen--Frank Flow ⋮ Existence and uniqueness of mild solutions to the incompressible nematic liquid crystal flow ⋮ Weak-strong uniqueness property for the compressible flow of liquid crystals ⋮ Well-posedness of the Ericksen-Leslie system ⋮ Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions ⋮ Analysis and numerical approximation of energy-variational solutions to the Ericksen-Leslie equations ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations ⋮ On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain ⋮ Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions ⋮ BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations ⋮ Concentration-cancellation in the Ericksen-Leslie model ⋮ On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model ⋮ Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system ⋮ On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow ⋮ BKM's criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport ⋮ Global classical large solutions to the 2D liquid crystal flows with partial viscosity ⋮ Global existence of the finite energy weak solutions to a nematic liquid crystals model ⋮ Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity ⋮ The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow ⋮ On the rigidity of nematic liquid crystal flow on \(S^2\) ⋮ Global solutions to the 3D incompressible nematic liquid crystal system ⋮ A blow‐up criterion for incompressible hydrodynamic flow of liquid crystals in dimension two ⋮ A regularity criterion for the solution of nematic liquid crystal flows in terms of the \({\dot B_{\infty,\infty}^{-1}}\)-norm ⋮ Nonexistence of smooth solutions for a full viscous isentropic liquid crystal system in three dimensions ⋮ Blow up criterion for compressible nematic liquid crystal flows in dimension three ⋮ Global weak solution and large-time behavior for the compressible flow of liquid crystals ⋮ Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two ⋮ Global solutions to the Navier-Stokes-Landau-Lifshitz system ⋮ The gradient flow for gauged harmonic map in dimension two. II ⋮ Logarithmically improved blow-up criteria for the nematic liquid crystal flows ⋮ Optimal distributed control of a 2D simplified ericksen-Leslie system for the nematic liquid crystal flows ⋮ Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\) ⋮ Global existence and temporal decay for the nematic liquid crystal flows ⋮ Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework ⋮ Energy dissipation for weak solutions of incompressible liquid crystal flows ⋮ On optimal boundary control of Ericksen-Leslie system in dimension two ⋮ On the temporal decay of solutions to the two-dimensional nematic liquid crystal flows ⋮ Existence and asymptotic behavior to the incompressible nematic liquid crystal flow in the whole space ⋮ Convergence of the Ginzburg-Landau Approximation for the Ericksen-Leslie System ⋮ On \(L^p\) estimates for a simplified Ericksen-Leslie system ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction ⋮ Some results on the penalised nematic liquid crystals driven by multiplicative noise: weak solution and maximum principle ⋮ Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces ⋮ Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model ⋮ Global well-posedness of the nonhomogeneous incompressible liquid crystals systems ⋮ Incompressible limit of the compressible nematic liquid crystal flows in a bounded domain with perfectly conducting boundary ⋮ Global strong solution to the density-dependent incompressible flow of liquid crystals ⋮ Hydrodynamics of Anisotropic Liquid Crystals in an Applied Magnetic Field ⋮ Existence, uniqueness and regularity for the stochastic Ericksen–Leslie equation ⋮ A Serrin criterion for compressible nematic liquid crystal flows ⋮ Regularity of weak solutions and the number of singular points to the 3D simplified nematic liquid crystal system ⋮ Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three ⋮ On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces ⋮ Partial regularity to the Landau-Lifshitz equation with spin accumulation ⋮ Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise ⋮ Space-time derivative estimates of the Koch-Tataru solutions to the nematic liquid crystal system in Besov spaces ⋮ The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation ⋮ On temporal decay estimates for the compressible nematic liquid crystal flow in ⋮ On singularities of Ericksen-Leslie system in dimension three
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity of minimizing harmonic maps into the sphere
- Hydrostatic theory of liquid crystals
- On the evolution of harmonic mappings of Riemannian surfaces
- The existence of minimal immersions of 2-spheres
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Applications harmoniques de surfaces riemanniennes
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Harmonic and quasi-harmonic spheres. II.
- Evolution of harmonic maps with Dirichlet boundary conditions
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Some constitutive equations for liquid crystals
- Boundary partial regularity for the Navier-Stokes equations
- Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
- Viscous flow in smectic A liquid crystals
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Nonparabolic dissipative systems modeling the flow of liquid crystals
This page was built for publication: Liquid crystal flows in two dimensions
