In this article, we consider the Qian–Sheng model in Landau–de Gennes framework describing nematic liquid crystal flows when inertial effect is neglected. By taking limit of elastic constant to zero (also called uniaxial limit) and utilizing so-called Hilbert expansion method, provide a rigorous derivation from non-inertial Ericksen–Leslie model.

aureus was isolated from two patients in the same ward of the Seattle Veterans Administration Hospital. This strain, called the Seattle variant, caused a fatal pneumonia in one of the patients and has been the object of a detailed laboratory investigation (R. J. Bulger, Ann. Internal Med., 67:81, 1967). The results indicate that the mechanism of resistance to methicillin was probably a combinat...

By analyzing elastic theory for nematic liquid crystals, we distinguish three regimes of constants. In one regime, the Ericksen inequalities are satisfied, and ground state director field is uniform. a second certain necessary violated, free energy thermodynamically unstable. Between those possibilities, there an intermediate where violated but system still stable. Remarkably, lyotropic chromon...

In this article, we consider the Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model without kinematic transport in three spatial dimensions, which is a nonlinear coupling of Navier-Stokes equations with wave map to $\mathbb{S}^2$. Global regularity small and smooth initial data near equilibrium proved. The proof relies on idea space-time resonance.

Abstract We investigate existence and uniqueness for the liquid crystal flow driven by colored noise on two-dimensional torus. After giving a natural criterion, we prove local solvability in L p -based spaces, every > 2. Thanks to bootstrap principle together with Gyöngy–Krylov-type compactness argument, this will ultimately lead us of particular class global solutions which are partially re...

We simulate the breakup of cylindrical fibers of a nematic liquid crystal surrounded by a quiescent Newtonian fluid. The nematic is described by the Leslie-Ericksen theory, and the interfacial motion is captured by a phase-field method from the initial linear instability to final breakup. The focus is on the coupling between liquid crystal molecular orientation and the evolution of the interfac...

We demonstrate that a compact manometer experiment allows direct observation of a delay to the classical electric-field-induced Freedericksz transition produced by flow in a highly dispersive nematic liquid crystal layer. The Ericksen-Leslie equations are used to show that a flow aligning torque generated in the nematic layer under Poiseuille flow competes with the orthogonal electric-field reo...

The effect of a dc electric field on the response of a nematic liquid crystal under shear flow has been investigated by measuring the shear stress response to an ac electric field used as a probe. It was found that both the first- and second-order responses do not vanish at high frequencies, but have constant nonzero values. The experimental results are in good agreement with calculations based...