强阻尼波动方程的近似惯性流形  

Approximate Inertial Manifold of Strongly Damped Wave Equation

作　　者：张素方 张建文 Sufang Zhang;Jianwen Zhang(College of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi)

机构地区：[1]太原理工大学数学学院,山西太原

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)。

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.

关 键 词：强阻尼 近似惯性流形 波动方程 

分 类 号：O1[理学—数学]