Global well-posedness to the compressible inertial Qian-Sheng model of liquid crystals

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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Uniqueness of weak solutions of the full coupled Navier-Stokes and \(Q\)-tensor system in 2D
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
Global well-posedness to incompressible non-inertial Qian-Sheng model
Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions
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
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
Zero inertia limit of incompressible Qian–Sheng model
Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport
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 an incompressible inertial nematic electrolyte model of liquid crystal flow

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