强阻尼非线性热弹耦合杆系统的全局吸引子

摘要

本文主要以算子半群理论为依据，证明了一类强阻尼非线性热弹耦合杆方程组在初边值条件下，全局吸引子的存在性，并且对吸引子维数做了估计。%In this paper, we prove the existence of the global attractor for strongly damped nonlinear thermoelastic coupled rod equation with the initial boundary value, and make the dimension estimate of the global attractor, according to the operator semigroups theory.