Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping and critical nonlinearity

Abstract

The goal of this paper is to study the long time behavior of the extensible beams equation with the nonlocal weak damping . In the case of critical growth of the nonlinearity, the polynomial attractor which can quantitatively describe the attractive rate of attractors for the equation is studied. The work generalizes and improves previous results for the extensible beams equation.