Chaos in the thermal convection of a Newtonian fluid with a temperature dependent viscosity

DOI10.1016/J.AMC.2004.01.020zbMath1303.76120OpenAlexW2026084546MaRDI QIDQ1765850

F. Talay Akyildiz, Hamid Bellout

Publication date: 23 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.020

zbMATH Keywords

chaosgeneralized Lorenz modelTemperature dependent viscosity

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Free convection (76R10) Convection in hydrodynamic stability (76E06)

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Onset of convection in the Rayleigh-Bénard flow with temperature dependent viscosity: An asymptotic approach
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Some Further Results on the Bénard Problem
• Onset of convection in a variable-viscosity fluid
• Deterministic Nonperiodic Flow
• Sharp global nonlinear stability for temperature-dependent viscosity convection
• Unconditional Nonlinear Stability in Temperature‐Dependent Viscosity Flow in a Porous Medium

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