强阻尼波动方程的近似惯性流形

Approximate Inertial Manifold of Strongly Damped Wave Equation

摘要: 本文主要研究了强阻尼波动方程的整体吸引子由光滑流形来逼近。构造了强阻尼波动方程的一个非线性近似惯性流形，并得到了该近似惯性流形逼近整体吸引子的阶数估计。

Abstract: In this paper, the global attractor approximation by smooth manifold is considered in strongly damped equation. A nonlinear approximate inertial manifold of strongly damped wave equation is constructed. The order of approximation of the inertial manifold to the global attractor is obtained．