Maximal transport in the Lorenz equations

DOI10.1016/j.physleta.2014.10.050zbMath1342.80005OpenAlexW2057265801MaRDI QIDQ736371

Andre N. Souza, Charles R. Doering

Publication date: 4 August 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.10.050

zbMATH Keywords

turbulenceLorenz equationsRayleigh-Bénard convectionheat transport

Mathematics Subject Classification ID

Related Items (10)

Transport between Two Fluids across Their Mutual Flow Interface: The Streakline Approach ⋮ Dynamically learning the parameters of a chaotic system using partial observations ⋮ Transport bounds for a truncated model of Rayleigh-Bénard convection ⋮ Maximal stochastic transport in the Lorenz equations ⋮ Time averages and periodic attractors at high Rayleigh number for Lorenz-like models ⋮ Optimal convection cooling flows in general 2D geometries ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Wall-to-wall optimal transport in two dimensions ⋮ Optimal heat transfer enhancement in plane Couette flow ⋮ Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization

Uses Software

• RODES

Cites Work

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• The Lorenz equation as a metaphor for the Navier-Stokes equations.
• Bounds on the dissipation in the Lorenz system
• Wall to wall optimal transport
• EXTENDED PHASE DIAGRAM OF THE LORENZ MODEL
• Energy-conserving truncations for convection with shear flow
• Deterministic Nonperiodic Flow
• On the shape and dimension of the Lorenz attractor
• Heat transport by turbulent convection
• Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection
• Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions

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