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.Dai, MimiFeireisl, EduardRocca, ElisabettaSchimperna, GiulioSchonbek, Maria E.2016-03-242019-06-2820142198-5855https://doi.org/10.34657/2811https://oa.tib.eu/renate/handle/123456789/2904We study a PDE system describing the motion of liquid crystals by means of the Q?tensor description for the crystals coupled with the incompressible Navier-Stokes system. Using the method of Fourier splitting, we show that solutions of the system tend to the isotropic state at the rate (1 + t)-β as t → ∞ for a certain β > 1/2 .application/pdfeng510Liquid crystalQ-tensor descriptionlong-time behaviorFourier splittingReport