Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations

DOI10.1007/s002200050551zbMath0943.35061OpenAlexW2009562407MaRDI QIDQ1300619

Zhi Min Chen

Publication date: 10 May 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050551

zbMATH Keywords

stabilitybifurcationinvariant subspacesexterior forcesteady-state solutioninitial value systemspatially periodic Navier-Stokes flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (11)

Dynamics and control of the 2-d Navier-Stokes equations ⋮ Symmetries, dynamics, and control for the 2D Kolmogorov flow ⋮ Adaptive control of a seven mode truncation of the Kolmogorov flow with drag ⋮ Dynamics and control of the seven-mode truncation system of the 2-d Navier-Stokes equations ⋮ Chaotic behavior of a Galerkin model of a two-dimensional flow ⋮ On the control of the chaotic attractors of the 2-d Navier-Stokes equations ⋮ Transition to chaos in a fluid motion system ⋮ Global solutions of the Navier-Stokes equations in thin three-dimensional domains ⋮ Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes ⋮ Transition to a pair of chaotic symmetric flows ⋮ Existence of periodic solutions of Boussinesq system

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