浮梁方程的近似惯性流形

Approximate Inertial Manifolds for the Suspension Bridge Equations

研究了具有自由初边值条件的浮梁方程utt+Δ2u+δut+bu++g(u)=f,构建了其线性与非线性的两种不同形式的近似惯性流形,进一步得到了这两个近似惯性流形逼近方程全局吸引子的阶数估计.

In this paper, the suspension bridge equations with the free initial boundary value condition utt＋Δ^2u＋δut＋bu^＋＋g（u）=f is considered. The linear and nonlinear approximate inertial manifolds are constructed. The orders of approximations of the manifolds to the global attractor are derived.