Global stability of systems related to the Navier-Stokes equations
Fluid Dynamics
2007-05-23 v1
Abstract
A generalized Lyapunov method is outlined which predicts global stability of a broad class of dissipative dynamical systems. The method is applied to the complex Lorenz model and to the Navier-Stokes equations. In both cases one finds compact domains in phase space which contain the omega sets of all trajectories, in particular the fixed points, limit cycles, and strange attractors.
Keywords
Cite
@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}
}
Comments
Lecture given at 3rd International Summer School/Conference, Let's face chaos through nonlinear dynamics, Maribor, Slovenia,24 June-5 July 1996