Existence of Global Attractors for the Coupled System of Suspension Bridge Equations

In this paper we study the mathematical model of the bridge problem where the roadbed and the tensioning cable have a common point. The correctness of the considered problem is proved and in the linear case the exponential energy decay of the system is shown. In the case of non-focused non-linear source terms we show the existence of an absorbing set and the asymptotic compactness of the nonlinear semigroup generated by the corresponding dynamic system. By using these results we show that the same nonlinear semigroup has a global minimal attractor.