Long-time Behavior Of Plate Equation On Time-dependent Domain

In this master paper,we investigate the long-time behavior of the solutions of two sorts of plate equations with time-dependent domain and critical nonlinearity:andFor the equation(I),in Chapter 3,we will consider the long-time behavior of the solutions.Firstly,we redefine the norm of work space with time term ?(t);Secondly,we make some priori estimates of the solutions of the equation;Finally,we will prove the existence of time-dependent global attractor by the contractive function.In Chapter 4,under the assumption that the domain is time-varying and d-iffeomorphic to a bounded domain,firstly,we transform time-dependent domain into cylinder domain.Secondly,we will establish some priori estimates and con-tractive function to prove the existence of pullback D-attractors.