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

Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …

Two-phase systems of microstructured complex fluids are an important class of engineering
materials. Their flow behaviour is interesting because of the coupling among three disparate …

A phase field model for the mixture of two incompressible fluids is presented in this paper.
The model is based on an energetic variational formulation. It consists of a Navier–Stokes …

In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties.
After a brief examination of the relations between several models, we shall concentrate on a …

This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and
Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both …

Here we established the partial regularity of suitable weak solutions to the dynamical
systems modelling the flow of liquid crystals. It is a natural generalization of an earlier work …

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 study the general Ericksen-Leslie system, which describes the flow of liquid crystal
materials. The dissipation property of the system is established and is used to prove the …

For any bounded smooth domain, we establish the global existence of a weak solution of the
initial boundary value (or the Cauchy) problem of the simplified Ericksen‐Leslie system LLF …