Global stability of systems related to the Navier-Stokes equations

Details Global stability of systems related to the Navier-Stokes equations Global stability of systems related to the Navier-Stokes equations

2001-01-04

arxiv.org/abs/physics/0101025v1

Nonlinear Phenomena in Complex Systems, 2:1 (1999) 78-82

Physics

Fluid Dynamics

Lecture given at 3rd International Summer School/Conference, Let's face chaos through nonlinear dynamics, Maribor, Slovenia,24

Scientific paper

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.

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