Long Time Behavior Of A Class Of Nonlinear Generalized Kirchhoff Models

The paper studies the long time behavior of solutions to the initial boundary value problem for a class of Kirchhoff models flow:We establish the existence of the global attractor in the space(H2 ? H01)×H01 with the methods of decomposition of solution.In the special case ?=0 we prove the existence of the inertial manifolds.