非自治吊桥方程的一致吸引子及其维数估计

The Uniform Attractor of Non-autonomous Suspension Bridge Equations and Estimates of Its Dimension

研究了非自治吊桥方程长时间的动力学行为.运用具有两个参数的算子簇来描述非自治无穷维动力系统的方法,证明了该系统的一致吸引子的存在性,并对其Hausdorff维数进行了估计.

In this paper,the long-time dynamical behavior of non-autonomous suspension bridge equations is studied. By describing non-autonomous dynamical system of inifinite dimension by an operator family with two parameters,the existence of the uniform attractor of the system is proved. An estimation of Hausdorff dimension of the attractor is given.