Numerical analysis of laminar-turbulent transition by methods of chaotic dynamics

DOI10.1134/S1064562420020118zbMath1481.76107OpenAlexW3043715310MaRDI QIDQ2243716

N. A. Magnitskiĭ, N. M. Evstigneev

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420020118

zbMATH Keywords

chaotic dynamicscompressible Navier-Stokes equationslaminar-turbulent transitionbifurcation analysisperiodic Kolmogorov problem: convective instability

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Convection in hydrodynamic stability (76E06) Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99) Transition to turbulence (76F06)

Cites Work

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• Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid
• Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection
• Nonlinear Dynamics of Laminar-Turbulent Transition in Generalized 3D Kolmogorov Problem for Incompressible Viscous Fluid at Symmetric Solution Subset
• Asymmetry and Hopf bifurcation in spherical Couette flow
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations

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