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。
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.
作者
张素方
张建文
Sufang Zhang;Jianwen Zhang(College of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi)
出处
《理论数学》
2015年第6期278-283,共6页
Pure Mathematics
基金
国家自然科学基金(11172194)
山西省软科学(2014041007-3)。
关键词
强阻尼
近似惯性流形
波动方程
Strongly Damped
Approximate Inertial Manifold
Wave Equation
