Three-dimensional Navier-Stokes equations truncated on a torus

DOI10.1088/0951-7715/5/1/008zbMath0747.34023OpenAlexW1993428257MaRDI QIDQ3990946

Valter Franceschini, Roberto Zanasi

Publication date: 28 June 1992

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/5/1/008

zbMATH Keywords

torusbifurcationsstrange attractornumerical investigationquasiperiodic attractorsthree-dimensional Navier-Stokes equation\(N\)-mode truncationsseven-mode truncationsymmetry and invariance properties

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Navier-Stokes equations (35Q30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Numerical analysis in abstract spaces (65J99)

Related Items (3)

Coexistence of chaotic and non-chaotic states in the two-dimensional Gauss--Navier--Stokes dynamics ⋮ Behavior of a three-torus in truncated Navier-Stokes equations ⋮ On the bifurcation phenomena in truncations of the 2D Navier-Stokes equations.

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