On possible scenarios of the transition to turbulence in Rayleigh-Bénard convection

DOI10.1134/S106456241004040XzbMath1202.35168OpenAlexW2081398228MaRDI QIDQ600774

N. M. Evstigneev, N. A. Magnitskiĭ

Publication date: 1 November 2010

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

Full work available at URL: https://doi.org/10.1134/s106456241004040x

zbMATH Keywords

Rayleigh-Bénard convectiontransition to turbulenceFeigenbaum-Sharkovskii-Magnitskii scenario

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transition to turbulence (76F06)

Related Items (2)

On the topological structure of singular attractors of nonlinear systems of differential equations ⋮ Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid

Cites Work

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• On the nature of turbulence in a problem on the motion of a fluid behind a ledge
• Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
• On the transition to diffusion chaos through a subharmonic cascade of bifurcations of two-dimensional tori: numerical analysis
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations

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