STUDIES ON THE APPROXIMATE INERTIAL MANIFOLDS AND THE NUMERICAL METHODS
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摘要: 本文简述了近年来在无穷维动力系统研究中一些数学理论的进展状况，主要目的是结合二维Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程讨论近似惯性流形及其数值方法的构造和意义．
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关键词:
- Navier－Stokes方程 /
- 全局吸引子 /
- 非线性Galerkin方法 /
- 近似惯性流形
Abstract: n this paper we outline some of the recent results in the mathema-tical theory of infinite dimensional dynamical systems,Our main objective isto highlight the construction theory of the approximate inertial manifolds andthe relevant numerical methods and discuss their possible applications in thestudy of 2D Navier-Stokes equations.-
Key words:
- Navier /
- Stokes equations /
- global attractors /
- nonlinear Galerkin methods
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