Computation of the asymptotic states for linear half space kinetic problems

DOI10.1080/00411459008214506zbMath0708.65130OpenAlexW2100405628MaRDI QIDQ3490921

François Coron

Publication date: 1990

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

Full work available at URL: https://hal.inria.fr/inria-00075599/document

zbMATH Keywords

numerical teststransport equationspectral methodrarefied gas dynamicslinearized BGK modelBhatnagar- Gross-Krook model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Gas dynamics (general theory) (76N15) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

An investigation of a simple transport model ⋮ Existence of algebraic matrix Riccati equations arising in transport theory ⋮ Convergence rates of iterative solutions of algebraic matrix Riccati equations ⋮ Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation ⋮ Numerical methods for an algebraic Riccati equation arising in transport theory in the critical case ⋮ Half-space kinetic equations with general boundary conditions ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ Global existence and stability of solutions of matrix Riccati equations ⋮ Spectral Analysis of Some Iterations in the Chandrasekhar's H-Functions ⋮ A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems.

Cites Work

• An abstract approach to evaporation models in rarefied gas dynamics
• Derivation of slip boundary conditions for the Navier-Stokes system from the Boltzmann equation
• Strong evaporation into a half space
• Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics
• Discontinuites de temperatures parietales dans un gaz polyatomique hors d'équilibre
• A classification of well-posed kinetic layer problems
• Existence of solutions and diffusion approximation for a model Fokker-Planck equation
• Velocity slip and defect: Hard sphere gas
• Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
• Strong evaporation in half-space: Integral transport solutions for one-dimensional Bhatnagar–Gross–Krook model
• Model Dependence of the Slip Coefficient
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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