On hydrodynamic averages

DOI10.1007/s10958-013-1209-9zbMath1285.82027OpenAlexW2004023720MaRDI QIDQ377985

Stamatis Dostoglou

Publication date: 20 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1209-9

zbMATH Keywords

particlesReynolds stressHamiltonian equationGibbs measuresLiouville equationgaseshydrodynamic averagesMaxwell-Boltzmann model

Mathematics Subject Classification ID

Hamilton's equations (70H05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Statistical thermodynamics (82B30)

Related Items (1)

On hydrodynamic equations at the limit of infinitely many molecules

Cites Work

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• Characterizations of conditional expectation as a transformation on function spaces
• A derivation of the hydrodynamic equations from the equations of motion of collective coordinates
• On the derivation of the equations of hydrodynamics from statistical mechanics
• Translation of Walter Noll's ``Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics

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