A theorem on Lyapunov stability for dynamical systems and a conjecture on a property of entropy

DOI10.1063/1.527390zbMath0589.70017OpenAlexW2041837206WikidataQ123136196 ScholiaQ123136196MaRDI QIDQ3718205

Gian Paolo Beretta

Publication date: 1986

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

Full work available at URL: http://hdl.handle.net/11379/161317

zbMATH Keywords

conditional stabilityquantum thermodynamicsentropy functionalequilibrium stateLyapunov criterionsufficient condition for stabilitycontinuous family of conditionally stable equilibriumstability of thermodynamic equilibrium

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Stability for nonlinear problems in mechanics (70K20) Foundations of thermodynamics and heat transfer (80A05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

Entropy-inspired Lyapunov Functions and Linear First Integrals for Positive Polynomial Systems ⋮ The rate-controlled constrained-equilibrium approach to far-from-local-equilibrium thermodynamics ⋮ NONLINEAR EXTENSIONS OF SCHRÖDINGER–VON NEUMANN QUANTUM DYNAMICS: A SET OF NECESSARY CONDITIONS FOR COMPATIBILITY WITH THERMODYNAMICS ⋮ The fourth law of thermodynamics: steepest entropy ascent

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