Zero inertia limit of incompressible Qian–Sheng model

PDEs in connection with fluid mechanics (35Q35) Wave equation (35L05) Liquid crystals (76A15) Initial value problems for higher-order hyperbolic equations (35L30) Perturbations of PDEs on manifolds; asymptotics (58J37) Singular hyperbolic equations (35L81)

Cites Work

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Uniqueness of weak solutions of the full coupled Navier-Stokes and \(Q\)-tensor system in 2D
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
Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
Zero inertia density limit for the hyperbolic system of Ericksen-Leslie's liquid crystal flow with a given velocity
A scaling limit from the wave map to the heat flow into \(\mathbb{S}^2\)
On dissipative solutions to a simplified hyperbolic Ericksen-Leslie system of liquid crystals
Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium
Global well-posedness to incompressible non-inertial Qian-Sheng model
The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow
Dynamic statistical scaling in the Landau-de Gennes theory of nematic liquid crystals
Some constitutive equations for liquid crystals
Vorticity and Incompressible Flow
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
An Optimal Estimate for the Time Singular Limit of an Abstract Wave Equation
On a hyperbolic system arising in liquid crystals modeling
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
Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals
Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport

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