A discrete velocity model of a gas: Global in time solutions of the BBGKY hierarchy

DOI10.1016/S0034-4877(97)85892-2zbMath0905.76069OpenAlexW2064674830MaRDI QIDQ1387115

Giuliana Lauro, Viktor Gerasimenko, Giovanni Borgioli, Roberto Monaco

Publication date: 9 February 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85892-2

zbMATH Keywords

Banach spacesexistenceuniquenessthermodynamic limitEnskog equationinitial value problemsemigroups of operatorsglobal in time weak solutionlocal equilibrium initial datamany particles dynamical systemssystem of hard disks

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• The mathematical theory of dilute gases
• On the Boltzmann-Grad limit for the Broadwell model of the Boltzmann equation.
• Many particles dynamical system formulation for the discrete Enskog gas
• Mathematical problems of statistical mechanics of a system of elastic balls
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A discrete velocity model of a gas: Global in time solutions of the BBGKY hierarchy