Boundary layers for discrete kinetic models: multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations

DOI10.3934/krm.2017037zbMath1357.82054OpenAlexW2593663631MaRDI QIDQ516259

Niclas Bernhoff

Publication date: 14 March 2017

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2017037

zbMATH Keywords

Boltzmann equationchemical reactionsboundary layersdiscrete velocity modelspolyatomic moleculesmixtureshalf-space problemsNordheim-Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (5)

Discrete quantum kinetic equation ⋮ Linear half-space problems in kinetic theory: Abstract formulation and regime transitions ⋮ Normal, high order discrete velocity models of the Boltzmann equation ⋮ Discrete velocity models for polyatomic molecules without nonphysical collision invariants ⋮ A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral-Lagrangian Boltzmann solver for a multi-energy level gas
• Half-space problem for the discrete Boltzmann equation: condensing vapor flow in the presence of a non-condensable gas
• Boundary layers and shock profiles for the discrete Boltzmann equation for mixtures
• Discrete velocity models for mixtures without nonphysical collision invariants
• The solutions for the boundary layer problem of Boltzmann equation in a half-space
• Molecular gas dynamics. Theory, techniques, and applications.
• Half-space problems for the Boltzmann equation: a survey
• Construction of discrete kinetic models with given invariants
• On half-space problems for the weakly non-linear discrete Boltzmann equation
• Mathematical models in rarefied gas dynamics
• The Boltzmann equation and its applications
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Stationary waves for the discrete Boltzmann equation in the half-space with reflective boundaries
• Kinetic boundary layers: On the adequate discretization of the Boltzmann collision operator
• Kinetic theory and fluid dynamics
• On low temperature kinetic theory; spin diffusion, Bose Einstein condensates, anyons
• On nonlinear stationary half-space problems in discrete kinetic theory.
• Existence of a stationary wave for the discrete Boltzmann equation in the half space
• Discrete velocity models without nonphysical invariants
• Kinetic approach to chemical reactions and inelastic transitions in a rarefied gas
• Half-space problems for a linearized discrete quantum kinetic equation
• A Milne problem from a Bose condensate with excitations
• Weak shock waves for the general discrete velocity model of the Boltzmann equation
• Conservative and Entropy Schemes for Boltzmann Collision Operator of Polyatomic Gases
• A classification of well-posed kinetic layer problems
• Multicomponent Transport Algorithms
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
• The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures
• Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
• Lattice points on circles and discrete velocity models for the Boltzmann equation

This page was built for publication: Boundary layers for discrete kinetic models: multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations