Global solutions to the initial-boundary value problem for the discrete Boltzmann equation

DOI10.1080/00411459208203521zbMath0756.76071OpenAlexW2006560692MaRDI QIDQ3977906

Ada Pulvirenti

Publication date: 12 August 1992

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459208203521

zbMATH Keywords

one dimensionfinite entropyreflective boundary conditions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

• Unnamed Item
• Large-time behavior of the Broadwell model of a discrete velocity gas
• Large time behavior of the Broadwell model of a discrete velocity gas with specularly reflective boundary conditions
• Large-time behavior of discrete velocity Boltzmann equations
• Discrete velocity models with small data
• The Boltzmann equation. I. Uniqueness and local existence
• On the Cauchy problem for the discrete Boltzmann equation with initial values in \(L^ +_ 1{\mathbb{R}}\)
• Global existence and asymptotic behavior for the discrete velocity models of the Boltzmann equation
• On the Broadwell's model for a simple discrete velocity gas