BGK model of the multi-species Uehling-Uhlenbeck equation
From MaRDI portal
Publication:2235130
DOI10.3934/KRM.2020047zbMath1471.82016arXiv1912.01677OpenAlexW3091558578MaRDI QIDQ2235130
Gi-Chan Bae, Christian Klingenberg, Marlies Pirner, Seok-Bae Yun
Publication date: 20 October 2021
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.01677
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with quantum mechanics (35Q40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Mathematical modeling or simulation for problems pertaining to classical thermodynamics (80-10) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)
Related Items (3)
A consistent BGK model with velocity-dependent collision frequency for gas mixtures ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ Small collaboration: Modeling phenomena from nature by hyperbolic partial differential equations. Abstracts from the small collaboration held April 11--17, 2021 (hybrid meeting)
Cites Work
- Unnamed Item
- Unnamed Item
- A BGK relaxation model for polyatomic gas mixtures
- Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit
- On kinetic flux vector splitting schemes for quantum Euler equations
- A consistent kinetic model for a two-component mixture with an application to plasma
- An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas
- Numerical simulation of the quantum Liouville-Poisson system
- Accurate asymptotic preserving boundary conditions for kinetic equations on Cartesian grids
- A gas-kinetic BGK scheme for semiclassical Boltzmann hydrodynamic transport
- A modified Boltzmann equation for Bose-Einstein particles: Isotropic solutions and long-time behavior
- A consistent BGK-type model for gas mixtures
- Existence, uniqueness and positivity of solutions for BGK models for mixtures
- A conservative, entropic multispecies BGK model
- Fast and accurate calculation of dilute quantum gas using Uehling-Uhlenbeck model equation
- A quantum relaxation-time approximation for finite fermion systems
- A general consistent BGK model for gas mixtures
- Kinetic ES-BGK models for a multi-component gas mixture
- A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures
- Derivation of a BGK model for mixtures
- A consistent kinetic model for a two-component mixture of polyatomic molecules
- Global analytic solutions of the semiconductor Boltzmann-Dirac-Benney equation with relaxation time approximation
- Stationary quantum BGK model for bosons and fermions in a bounded interval
- Semiconductor Boltzmann-Dirac-Benney equation with a BGK-type collision operator: existence of solutions vs. ill-posedness
- Derivation and numerical comparison of Shakhov and ellipsoidal statistical kinetic models for a monoatomic gas mixture
- Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics
- An existence result for a quantum BGK model
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Implicit-explicit schemes for BGK kinetic equations
- A numerical scheme for the quantum Boltzmann equation with stiff collision terms
- Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
- Model for Collision Processes in Gases: Small-Amplitude Oscillations of Charged Two-Component Systems
- A kinetic model for a multicomponent gas
- Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation
- Entropy maximisation problem for quantum relativistic particles
- Numerical methods for kinetic equations
- Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
- Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. II
- Quantum BGK Model near a Global Fermi--Dirac Distribution
- Global existence and stability of mild solutions to the Boltzmann system for gas mixtures
- Simulation of shock wave diffraction by a square cylinder in gases of arbitrary statistics using a semiclassical Boltzmann–Bhatnagar–Gross–Krook equation solver
- Kinetic modelling of the quantum gases in the normal phase
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- BGK models for diffusion in isothermal binary fluid systems
- On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
This page was built for publication: BGK model of the multi-species Uehling-Uhlenbeck equation
