The milne problem with a force term

DOI10.1080/00411459808205139zbMath0899.76319OpenAlexW2047918808MaRDI QIDQ4384981

Rossana Marra, Raffaele Esposito, Carlo Cercignani

Publication date: 15 November 1998

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

Full work available at URL: https://doi.org/10.1080/00411459808205139

zbMATH Keywords

existenceuniquenessasymptotic propertiesgas of hard spheresstationary half-space linearized Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (10)

Hydrodynamic limit with geometric correction of stationary Boltzmann equation ⋮ Hydrodynamic Limit of 3dimensional Evolutionary Boltzmann Equation in Convex Domains ⋮ Asymptotic behavior on the Milne problem with a force term ⋮ Stationary non equilibrium states in kinetic theory ⋮ Regularity of Milne problem with geometric correction in 3D ⋮ Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture ⋮ The solutions for the boundary layer problem of Boltzmann equation in a half-space ⋮ Geometric correction for diffusive expansion of steady neutron transport equation ⋮ Stability for Rayleigh-Benard convective solutions of the Boltzmann equation ⋮ The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures

Cites Work

• Unnamed Item
• Half-range completeness for the Fokker-Planck equation with an external force
• Hydrodynamic limit of the stationary Boltzmann equation in a slab
• The mathematical theory of dilute gases
• The Navier-Stokes limit of stationary solutions of the nonlinear Boltzmann equation.
• Kramers problem in the kinetic theory of gases
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• Finite element solution for the transcritical shallow-water equations

This page was built for publication: The milne problem with a force term