Chaotic principle: Some applications to developed turbulence

DOI10.1007/BF02183608zbMath0952.76513arXivchao-dyn/9505013OpenAlexW3098587768MaRDI QIDQ1285343

Giovanni Gallavotti

Publication date: 18 January 2001

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9505013

zbMATH Keywords

developed turbulencechaotic principle

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Cites Work

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• On constructing Markov partitions by computer
• An example of absence of turbulence for any Reynolds number
• Remarks on turbulence theory
• Ergodicity, ensembles, irreversibility in Boltzmann and beyond.
• Dynamical ensembles in stationary states.
• Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems.
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem.
• Probability of second law violations in shearing steady states
• Distribution of characteristic exponents in the thermodynamic limit
• A Measure Associated with Axiom-A Attractors
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
• GIBBS MEASURES IN ERGODIC THEORY
• Non-equilibrium thermodynamics and liquid helium II
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms