The Global Attractors And Expone Ntial Attractors For A Class Of Nonlinear Damping Kirchhoff Equations

In this paper,we study the following nonlinear damping Kirchhoff equation:the long-term behavior of the solution is studied,and the attractor problem of the equa-tion under the initial boundary condition is studied.Using the consistent prior estimate and Galerkin method to prove the solution the existence of uniqueness and the existence of the whole attractor,and the existence of squeezing and exponential attractor of the nonlinear semigroup associated with the equation.In this paper,we discuss the long-term behavior of a class of nonlinear damping Kirch-hoff equation:The first chapter mainly introduces the current situation of the power system,Kirch-hoff equation and the main work of this paper,The second chapter mainly introduces the commonly used inequality,Sobolev em-bedding theorem,In the third chapter,we study the global attractor problem of a class of nonlinear damping-Kirchhoff equation under the initial boundary condition.The existence and uniqueness of the solution and the existence of the whole attractor are proved by using the consistent prior estimate and Galerkin method,In chapter 4,we discuss the existence of exponential attractors for a class of nonlinear damping-Kirchhoff equation.