The existence of exponential attractors for strong damped Kirchhoff-type suspension bridge equations

Abstract

In this paper, we study the long time dynamical behavior of strong damped Kirchhoff-type suspension bridge equations by the decomposing technique of operator semigroup. Under the weaker condition of the nonlinearity, we first verify the asymptotic compactness of solution semigroup in two spaces. Then we use the decomposing technique of operator semigroup to obtain the existence of exponential attractors for the strong damped Kirchhoff-type suspension bridge equations.