Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals
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Publication:1710411
DOI10.1007/s00205-018-1297-2zbMath1421.76016arXiv1709.02864OpenAlexW3099130299MaRDI QIDQ1710411
Arghir Zarnescu, Hao Wu, Xiang Xu
Publication date: 22 January 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.02864
global strong solutiondefectNavier-Stokes systemeigenvalue range preservationparabolic reaction-convection-diffusion system
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Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness of weak solutions of the full coupled Navier-Stokes and \(Q\)-tensor system in 2D
- Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
- Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals
- Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
- Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential
- Regularity and the behavior of eigenvalues for minimizers of a constrained \(Q\)-tensor energy for liquid crystals
- A global 2D well-posedness result on the order tensor liquid crystal theory
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Compressible fluid flow and systems of conservation laws in several space variables
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Semigroups of linear operators and applications to partial differential equations
- Differentiability properties of symmetric and isotropic functions
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Vorticity and Incompressible Flow
- Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models
- Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions
- On asymptotic isotropy for a hydrodynamic model of liquid crystals
- Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data
- Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
- Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
- Commutator estimates and the euler and navier-stokes equations
- Characteristic roots and vectors of a diifferentiable family of symmetric matrices†
- Liquid Crystal Flow: Dynamic and Static Configurations
- Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals
- Weak Time Regularity and Uniqueness for a $Q$-Tensor Model
- Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
- Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions
