Toward a thermodynamic theory of hydrodynamics: The Lorenz equations

DOI10.1063/1.868351zbMath0836.76007OpenAlexW1964670498MaRDI QIDQ4837454

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Publication date: 3 July 1995

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868351

zbMATH Keywords

Lyapunov functionstability criteriaRayleigh-Bénard convectionGibbs free energyexcess work

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Statistical mechanics of liquids (82D15) Thermodynamics and heat transfer (80A99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Cites Work

• On the search for variational principles
• ‘Lorenz attractor’ from an electrical circuit with uncoupled continuous piecewise-linear resistor
• Energy stability theory for free-surface problems: buoyancy-thermocapillary layers
• Deterministic Nonperiodic Flow
• Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above

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