Wu, Hao Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows. (English) Zbl 1185.35178 Discrete Contin. Dyn. Syst. 26, No. 1, 379-396 (2010). Summary: We study a simplified system of the original Ericksen-Leslie equations for the flow of nematic liquid crystals. This is a coupled non-parabolic dissipative dynamic system. We show the convergence of global classical solutions to single steady states as time goes to infinity by using the Łojasiewicz-Simon approach. Moreover, we provide an estimate on the convergence rate. Cited in 30 Documents MSC: 35Q30 Navier-Stokes equations 35B40 Asymptotic behavior of solutions to PDEs 35B41 Attractors 76D05 Navier-Stokes equations for incompressible viscous fluids 35N20 Overdetermined initial value problems for PDEs and systems of PDEs 76A15 Liquid crystals Keywords:nematic liquid crystal flow; Navier-Stokes equations; convergence to steady state; Łojasiewicz-Simon approach PDFBibTeX XMLCite \textit{H. Wu}, Discrete Contin. Dyn. Syst. 26, No. 1, 379--396 (2010; Zbl 1185.35178) Full Text: DOI arXiv