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Global stability of systems related to the Navier-Stokes equations

Alexander Rauh
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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.

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Alexander Rauh. 2001-01-04. Global stability of systems related to the Navier-Stokes equations. https://arxiv.org/abs/physics/0101025

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