The Broadwell model for initial values in \(L_+^ 1({\mathbb{R}})\)

DOI10.1007/BF01258533zbMath0592.35103MaRDI QIDQ1075528

Reinhard Illner

Publication date: 1984

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

zbMATH Keywords

asymptotic stabilityhyperbolic systemsBoltzmann equationkinetic theorydiscrete velocity models

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

The Boltzmann equation: global existence for a rare gas in an infinite vacuum, On the Cauchy problem for the discrete Boltzmann equation with initial values in \(L^ +_ 1{\mathbb{R}}\), Large-time behavior of the Broadwell model of a discrete velocity gas, On the asymptotic behaviour and stability of the solution for the Broadwell model of the Boltzmann equation in three dimensions

Cites Work

• On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas
• The Boltzmann equation. I. Uniqueness and local existence
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• On the Broadwell's model for a simple discrete velocity gas