Global Existence And Decay Of Classical Solutions Of Quantum MHD Liquid Crystal Coupling Equations

In this paper,we study the global existence and decay estimation of the classical solution of the Cauchy problem of three-dimensional quantum MHD liquid crystal coupling equations.For this problem,on the one hand,when the initial value is the small perturbation condition of the stationary equilibrium state(H3 space),by using the energy method,we obtain the uniformly bounded estimation of the local solution,and then obtain the existence of the global solution.On the other hand,when initial value H-s(0?s<3/2)norm or B2,?-s(0