Existence Of Exponential Attractor For Generalized Cahn-Hilliard Equation With Mass Source

In this thesis,the well posedness of the solution for the generalized Cahn-Hilliard equation with mass source is studied under Neumann boundary conditions,the exis-tence of exponential attractor is also studied.We prove the existence and uniqueness of the solution under the condition that the nonlinear term satisfies more general assumptions,and the dissipation of the semigroups and the existence of exponential attractors is proved.The results obtained generalize the existing results.The existence and uniqueness of the solution are obtained by a priori estimation method and Galerkin method.According to the existence theorem of exponential attractor,the exis-tence of exponential attractor in space~2(?)for generalized Cahn-Hilliard equation with mass source is proved.