Local well-posedness and small Deborah limit of a molecule-based \(Q\)-tensor system
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Publication:258415
DOI10.3934/dcdsb.2015.20.2611zbMath1332.35290arXiv1410.3286OpenAlexW2963364852MaRDI QIDQ258415
Wei Wang, Pingwen Zhang, Sirui Li
Publication date: 10 March 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.3286
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (8)
Local well-posedness of the inertial Qian-Sheng's \(Q\)-tensor dynamical model near uniaxial equilibrium ⋮ Modelling and computation of liquid crystals ⋮ A fast Chebyshev method for the Bingham closure with application to active nematic suspensions ⋮ Rigorous biaxial limit of a molecular-theory-based two-tensor hydrodynamics ⋮ Frame Hydrodynamics of Biaxial Nematics from Molecular-Theory-Based Tensor Models ⋮ Rigorous Justification of the Uniaxial Limit from the Qian--Sheng Inertial $Q$-Tensor Theory to the Ericksen--Leslie Theory ⋮ Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit ⋮ Γ-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen–Frank description of cholesterics
Cites Work
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- Viscous flow in smectic A liquid crystals
- Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory
- The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation
- Critical points of the Onsager functional on a sphere
- Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions
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