Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
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Publication:1680462
DOI10.1016/j.jde.2017.09.031zbMath1393.35165arXiv1608.08872OpenAlexW2964014182MaRDI QIDQ1680462
Arghir Zarnescu, Francesco De Anna
Publication date: 16 November 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.08872
Navier-Stokes equationsglobal well-posednessnematic liquid crystal fluidtwist-wave solutions, inertial terms
Related Items (17)
Local well-posedness of the inertial Qian-Sheng's \(Q\)-tensor dynamical model near uniaxial equilibrium ⋮ Zero inertia limit of incompressible Qian–Sheng model ⋮ Global well-posedness to incompressible non-inertial Qian-Sheng model ⋮ Uniform local well-posedness for an Ericksen-Leslie's density-dependent parabolic-hyperbolic liquid crystals model ⋮ On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals model ⋮ Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model ⋮ Small data global regularity and scattering for 3D Ericksen–Leslie compressible hyperbolic liquid crystal model ⋮ On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids ⋮ An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ On a hyperbolic system arising in liquid crystals modeling ⋮ Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory ⋮ On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model ⋮ On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow ⋮ Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions ⋮ Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport ⋮ Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals
Cites Work
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Existence of solutions for the Ericksen-Leslie system
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
- Dynamic statistical scaling in the Landau-de Gennes theory of nematic liquid crystals
- Some constitutive equations for liquid crystals
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- TWIST WAVES IN LIQUID CRYSTALS
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