On the bifurcation phenomena in truncations of the 2D Navier-Stokes equations.

DOI10.1016/0960-0779(94)00190-2zbMath1080.76510OpenAlexW2061974529MaRDI QIDQ812238

Fred Feudel, Norbert Seehafer

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-13390

zbMATH Keywords

chaosLyapunov exponent

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30)

Related Items (3)

CONTROLLING CHAOS TO A CLASS OF PDEs BY APPLYING INVARIANT MANIFOLD AND STRUCTURE STABILITY THEORY ⋮ Lagrangian coherent structures at the onset of hyperchaos in the two-dimensional Navier-Stokes equations ⋮ On the dynamics of Navier-Stokes and Euler equations

Cites Work

• A five-dimensional truncation of the plane incompressible Navier-Stokes equations
• Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations
• Common periodic behavior in larger and larger truncations of the Navier-Stokes equations.
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Three-dimensional Navier-Stokes equations truncated on a torus
• Topology of trajectories of the 2D Navier–Stokes equations
• Deterministic Nonperiodic Flow

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