Exponential attractor for the Higher-order Kirchhoff-type equation with nonlinear strongly damped term

Abstract

We investigate the existence of exponential attractor for the Higher-order Kirchhoff-type equation with nonlinear strongly damped term: .For strong nonlinear damping σ(s) and φ(s) ,we assumptions .Under of the proper assume H1-H3, we first prove the squeezing property of the nonlinear semigroup associated with this equation, then the existence of exponential attractor is proved