Instabilities, bifurcations, and nonlinear dynamics in two-dimensional generalizations of Kolmogorov flow

DOI10.1134/S0015462822040115zbMath1497.76037WikidataQ125170290 ScholiaQ125170290MaRDI QIDQ2172676

I. I. Wertgeim, A. N. Sharifulin, Michael A. Zaks, R. V. Sagitov

Publication date: 16 September 2022

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

incompressible Navier-Stokes equationsgeneralized Kolmogorov flowstability domainchaotic advectionLagrangian particle dynamicsspatially-periodic flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Diffusion and convection (76R99)

Cites Work

• Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations
• Phase-space analysis of bursting behavior in Kolmogorov flow
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On stability of secondary flows of a viscous fluid in unbounded space
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• Instabilities in two-dimensional spatially periodic flows. Part I: Kolmogorov flow
• Homoclinic tangles-classification and applications
• Bifurcations in a quasi-two-dimensional Kolmogorov-like flow
• Stirring by chaotic advection
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