湍流拟序结构与动力系统<sup>*</sup>

湍流拟序结构与动力系统^*

基金项目: * 国家自然科学基金

摘要: 用动力系统描述湍流的主要困难是:如何建立无限维连续介质系统与低维动力系统的联系与确定湍流的空间结构.本文综述复杂系统低维描述的各种方法以及解决湍流问题的新途径.
- 湍流 /
- 拟序结构 /
- 动力系统 /
- 低维描述 /
- Kanhunen-Loeve展开
Abstract: The main difficulties in the study of turbulence via dynamic system lie in how to relate continuum systems of infinite dimension with dynamic system in low dimension space and how to depict its spacial structure. In this paper, we'll give a comprehensive review on various methods to describe complex systems in low dimension space and new approaches to the resolution of turbulence problems.
- turbulence /
- coherent structure /
- dynamic-system /
- low dimension formulation /
- Karhunen-Loeve expansion

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