Boundary value problems for the steady Boltzmann equation

DOI10.1007/BF02174213zbMath0930.76075MaRDI QIDQ1285270

K. Appert

Publication date: 26 April 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessnumerical simulationinflow boundary conditionsdiffusive boundary conditionsabstract fixed-point theorytruncations of collision kernel

Mathematics Subject Classification ID

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

Related Items (9)

Existence of Solutions to the Stationary Linear Boltzmann Equation ⋮ Coupling Boltzmann and Navier-Stokes equations by half fluxes ⋮ Discrete velocity models with general boundary conditions in a slab ⋮ A constructive approach to steady nonlinear kinetic equations ⋮ Simulation of boundary value problems for the Boltzmann equation ⋮ Unnamed Item ⋮ The stationary nonlinear Boltzmann equation in a Couette setting with multiple, isolated \(L^q\)-solutions and hydrodynamic limits ⋮ \(L^1\) solutions to the stationary Boltzmann equation in a slab ⋮ Unnamed Item

Cites Work

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• Measure solutions of the steady Boltzmann equation in a slab
• A boundary value problem for discrete-velocity models
• Simulation of boundary value problems for the Boltzmann equation
• The Boltzmann equation. I. Uniqueness and local existence
• Boltzmann asymptotics with diffuse reflection boundary conditions
• On diffuse reflection at the boundary for the Boltzmann equation and related equations
• Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions

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