This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Liu, ChunWu, HaoXu, Xiang2016-03-242019-06-2820090946-8633https://doi.org/10.34657/2019https://oa.tib.eu/renate/handle/123456789/2081In this paper we study the long time behavior of the classical solutions to a hydrodynamical system modeling the flow of nematic liquid crystals. This system consists of a coupled system of Navier--Stokes equations and kinematic transport equations for the molecular orientations. By using a suitable Lojasiewicz--Simon type inequality, we prove the convergence of global solutions to single steady states as time tends to infinity. Moreover, we provide estimates for the convergence rate.application/pdfeng510Liquid crystal flowsNavire-Stokes equationkinematic transportuniqueness of asymptotic limitLojasiewicz-Simon inequalityReport