In this thesis,the coupling equations of the sixth and fourth-order parabolic equations with Neumann boundary conditions are studied(?)Because of the degradation,we consider the non-degradation problem.The existence of the weak solution of the non-degradation problem with the help of Galerkin method is first established.Then a series of estimations for the regularization problem are also established.Based on the estimation of the regularization problem,we obtain the existence of the weak solution of the degradation problem. |