Bifurcation analysis of Kolmogorov flows
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Publication:1854636
DOI10.2748/tmj/1113247600zbMath1021.35080OpenAlexW2047367231MaRDI QIDQ1854636
Publication date: 15 January 2003
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1113247600
Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32) Statistical solutions of Navier-Stokes and related equations (76D06)
Related Items (7)
A computer-assisted proof on the stability of the Kolmogorov flows of incompressible viscous fluid ⋮ Construction of circle bifurcations of a two-dimensional spatially periodic flow ⋮ Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Kolmogorov flow: Linear stability and energy transfers in a minimal low-dimensional model ⋮ Hopf bifurcation of the three-dimensional Navier-Stokes equations ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part
Cites Work
- Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori
- Stationary solutions and their stability for Kimura's diffusion model with intergroup selection
- Bifurcation from simple eigenvalues
- 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
- Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
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