The study of hydrodynamics of liquid crystals leads to many fascinating mathematical
problems, which has prompted various interesting works recently. This article reviews the …

抄録 This survey article discusses various aspects of modeling and analysis of the Ericksen-
Leslie equations describing nematic liquid crystal flow both in the isothermal and non …

Liquid crystals are a type of soft matter that is intermediate between crystalline solids and
isotropic fluids. The study of liquid crystals has made tremendous progress over the past four …

We study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The
fluid is described by a system that couples a forced Navier–Stokes system with a parabolic …

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Chiral condensed matter systems, such as liquid crystals and magnets, exhibit a host of
spatially localized topological structures that emerge from the medium's tendency to twist …

Knots and knotted fields enrich physical phenomena ranging from DNA and molecular
chemistry to the vortices of fluid flows and textures of ordered media. Liquid crystals provide …

We investigate stability properties of the radially symmetric solution corresponding to the
vortex defect (the so called “melting hedgehog”) in the framework of the Landau–de Gennes …

We introduce a new class of non-isothermal models describing the evolution of nematic
liquid crystals and prove their consistency with the fundamental laws of classical …

We consider the one-constant Landau-de Gennes model for nematic liquid crystals. The
order parameter is a traceless tensor field QQ, which is constrained to be uniaxial: Q= s (n ⊗ …