强阻尼非线性波方程的近似惯性流形(英文)

Approximate Inertial Manifolds of Strongly Demped Nonlinear Wave Equations

本文研究一类强阻尼非线性波方程．通过交换的方法，我们构造了方程的近似惯性流形序列，并得到了对于方程的整体吸引子的逼近估计．

In this paper, we consider a cbo of strongly damped nonlinear wave equations. By usIng transform method, we construct a family of approximate inertial manifolds and obtain the estimateof approximation to the globai attractor.