Some Problems Of Fourth Order Nonlinear Wave Equation (System)

In this paper, we have studied the two kinds of frst initial boundary value problems fornonlinear wave systems and vacuum isolating for a class of nonlinear dispersive-dissipativewave equations. In the second part, we study the initial boundary value problems for a classof nonlinear wave systemsand the existence and the uniqueness of global strong solution are proved by means of theGalerkin method.In the third part, we study the following initial boundary value problems for a class of n-dimensional nonlinear wave system of fourth order, and the existence and the uniqueness ofglobal strong solution are proved by means of the Galerkin method.In the fourth part, on the basis of the existence of solutions we study vacuum isolating ofsolutions for a class of n-dimensional nonlinear wave equations of fourth-order.