Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows
Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows
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 …