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 …

In this paper, we investigate the global existence and long-time behavior of classical
solution for the compressible nematic liquid crystal flows in three-dimensional whole space …

In this work we consider a stochastic evolution equation which describes the system
governing the nematic liquid crystals driven by a pure jump noise in the Marcus canonical …

In this paper, we prove several mathematical results related to a system of highly nonlinear
stochastic partial differential equations (PDEs). These stochastic equations describe the …

This paper studies the asymptotic behavior of smooth solutions to the generalized Hall-
magneto-hydrodynamics system (1.1) with one single diffusion on the whole space R 3. We …

Different results related to the asymptotic behavior of incompressible fluid equations are
analyzed as time tends to infinity. The main focus is on the solutions to the Navier-Stokes …

The Cauchy problem for the three-dimensional non-isothermal model for compressible
nematic liquid crystals is considered. Existence of global-in-time smooth solutions is …

Abstract The general Ericksen-Leslie model for the flow of nematic liquid crystals is
reconsidered in the non-isothermal case aiming for thermodynamically consistent models …

In this paper, we prove the existence of a unique maximal local strong solutions to a
stochastic system for both 2D and 3D penalised nematic liquid crystals driven by …

It is well-known that the Cauchy problem of the compressible liquid crystals flow admits a
unique global-in-time solution, belonging to C 0 (R 0+, H l (R 3)) with l⩾ 3; moreover the …