Nonlinear Dynamics of Laminar-Turbulent Transition in Generalized 3D Kolmogorov Problem for Incompressible Viscous Fluid at Symmetric Solution Subset

DOI10.5890/JAND.2017.09.003zbMath1377.76014OpenAlexW2752326902MaRDI QIDQ4602217

N. A. Magnitskiĭ, N. M. Evstigneev

Publication date: 9 January 2018

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2017.09.003

zbMATH Keywords

laminar-turbulent transitionKolmogorov problemFShM bifurcation scenario

Mathematics Subject Classification ID

Stratification effects in viscous fluids (76D50) Stratification effects in turbulence (76F45)

Related Items (2)

Numerical analysis of laminar-turbulent transition by methods of chaotic dynamics ⋮ Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem

Cites Work

• Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid
• Global attractors for the three-dimensional Navier-Stokes equations
• Numerical Methods for Large Eigenvalue Problems
• Approximation of attractors, large eddy simulations and multiscale methods
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• Hopf bifurcation with cubic symmetry and instability of ABC flow
• Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers
• Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow

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