Stedy state solution for the weakly damped forced korteweg-de vries

In this thesis, the existence and uniqueness of steady state solution for the weakly damped forced Korteweg-de Vries equation with a periodic boundary value problem is examined. The every solution of the weakly damped forced Korteweg-de Vries equation converges to the steady state solution as time . The existence of the global attractor of the nonlinear wave equation is studied. In this first chapter, the periodic boundary value problem is defined and some of the works on this subject are mentioned. In the second, basic terms are given. In the third, existence and uniqueness of the solution of the problem are shown. In the fourth, it is proved that the problem has an absorbing set and in the last chapter, existence of the global attractor of the problem is shown. The work is consist of the common results in the litterateur.