Construction of circle bifurcations of a two-dimensional spatially periodic flow

DOI10.1016/J.JMAA.2005.11.060zbMath1134.35086OpenAlexW1994262708MaRDI QIDQ855616

W. G. Price, Zhi Min Chen

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.060

zbMATH Keywords

Navier-Stokes equationsupercriticalKolmogorov flowSteady-state bifurcation

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Cites Work

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• Some global results for nonlinear eigenvalue problems
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• Bifurcation in Nonlinear Hydrodynamic Stability
• 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
• The growth of Taylor vortices in flow between rotating cylinders

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