标题:
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
关键字:
强阻尼, 近似惯性流形, 波动方程Strongly Damped, Approximate Inertial Manifold, Wave Equation
期刊名称:
《Pure Mathematics》, Vol.5 No.6, 2015-11-27
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．