Liouville theorem for the steady-state solutions of \(Q\)-tensor system of liquid crystal
From MaRDI portal
Publication:1680035
DOI10.1016/j.aml.2017.08.019zbMath1448.76023OpenAlexW2752661982MaRDI QIDQ1680035
Xiaotao Zhang, HuaJun Gong, Xian-Gao Liu
Publication date: 22 November 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.019
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\)
- Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
- Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential
- Global existence and regularity of solutions for active liquid crystals
- Orientability and energy minimization in liquid crystal models
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model
- Hydrostatic theory of liquid crystals
- Global well-posedness for the dynamical \(Q\)-tensor model of liquid crystals
- The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- From the Q-tensor flow for the liquid crystal to the harmonic map flow
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Some constitutive equations for liquid crystals
- Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- 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
- A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals
- Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory
