dorsal/arxiv
View SchemaGlobal stability of systems related to the Navier-Stokes equations
| Authors | Alexander Rauh |
|---|---|
| Categories | |
| ArXiv ID | physics/0101025 |
| URL | https://arxiv.org/abs/physics/0101025 |
| Journal | Nonlinear Phenomena in Complex Systems, 2:1 (1999) 78-82 |
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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"abstract": "A generalized Lyapunov method is outlined which predicts global stability of\na broad class of dissipative dynamical systems. The method is applied to the\ncomplex Lorenz model and to the Navier-Stokes equations. In both cases one\nfinds compact domains in phase space which contain the omega sets of all\ntrajectories, in particular the fixed points, limit cycles, and strange\nattractors.",
"arxiv_id": "physics/0101025",
"authors": [
"Alexander Rauh"
],
"categories": [
"physics.flu-dyn"
],
"journal_ref": "Nonlinear Phenomena in Complex Systems, 2:1 (1999) 78-82",
"title": "Global stability of systems related to the Navier-Stokes equations",
"url": "https://arxiv.org/abs/physics/0101025"
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