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 …

We derive a model describing the evolution of a nematic liquid–crystal material under the
action of thermal effects. The first and second laws of thermodynamics lead to an extension …

Abstract Consider the (simplified) Leslie–Ericksen model for the flow of nematic liquid
crystals in a bounded domain Ω⊂ R n for n> 1. This article develops a complete dynamic …

In this paper we investigate the three dimensional general Ericksen–Leslie (E–L) system
with Ginzburg–Landau type approximation modeling nematic liquid crystal flows. First, by …

We discuss a 3D model describing the time evolution of nematic liquid crystals in the
framework of Landau-de Gennes theory, where the natural physical constraints are enforced …

In this paper, we prove the existence of global-in-time weak solutions for an evolutionary
PDE system modelling nonisothermal Landau–de Gennes nematic liquid crystal (LC) flows …

In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and
damage phenomena in thermoviscoelastic materials. The model is thermodynamically …

Abstract The Ericksen–Leslie model for nematic liquid crystals in a bounded domain with
general Leslie and isotropic Ericksen stress tensor is studied in the case of a non-isothermal …

In this paper, we prove the local well-posedness of strong solutions to a compressible non-
isothermal model for nematic liquid crystals in a bounded domain Ω⊂ R 3 provided that the …