与Navier-Stokes方程相关的系统的全局稳定性
流体动力学
2007-05-23 v1
摘要
概述了一种广义Lyapunov方法，该方法可以预测一大类耗散动力系统的全局稳定性。该方法应用于复Lorenz模型和Navier-Stokes方程。在这两种情况下，在相空间中找到了包含所有轨迹的omega集的紧致域，特别是固定点、极限环和奇异吸引子。
引用
@article{arxiv.physics/0101025,
title = {Global stability of systems related to the Navier-Stokes equations},
author = {Alexander Rauh},
journal= {arXiv preprint arXiv:physics/0101025},
year = {2007}
}
备注
Lecture given at 3rd International Summer School/Conference, Let's face chaos through nonlinear dynamics, Maribor, Slovenia,24 June-5 July 1996