Time dependent periodic Navier-Stokes flows on a two-dimensional torus

DOI10.1007/BF02100098zbMath0853.76015MaRDI QIDQ1919256

W. G. Price, Zhi Min Chen

Publication date: 5 August 1996

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

zbMATH Keywords

Hopf bifurcationsspatially periodic force

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30)

Related Items (9)

Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension ⋮ Low-Index Equilibrium and Multiple Period-Doubling Cascades to Chaos of Atmospheric Flow in Beta-Plane Channel ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ Long-time behavior of Navier-Stokes flow on a two-dimensional torus excited by an external sinusoidal force ⋮ Global solutions of the Navier-Stokes equations in thin three-dimensional domains ⋮ Hopf bifurcation of the three-dimensional Navier-Stokes equations ⋮ Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes ⋮ On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing ⋮ Existence of periodic solutions of Boussinesq system

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An example of absence of turbulence for any Reynolds number
• Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the Hausdorff dimension of their global attractors
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Common periodic behavior in larger and larger truncations of the Navier-Stokes equations.
• On the nature of turbulence
• Problems in variations for plane transonic gas flow
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• An Example of Instability for the Navier–Stokes Equations on the 2–dimensional Torus

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