The derivation of the linear Boltzmann equation from a Rayleigh gas particle model

Karsten Matthies;  ; George Stone; Florian Theil;

doi:10.3934/krm.2018008

The derivation of the linear Boltzmann equation from a Rayleigh gas particle model

Kinetic and Related Models ◽

10.3934/krm.2018008 ◽

2018 ◽

Vol 11 (1) ◽

pp. 137-177 ◽

Cited By ~ 1

Author(s):

Karsten Matthies ◽

◽

George Stone ◽

Florian Theil ◽

Keyword(s):

Boltzmann Equation ◽

Linear Boltzmann Equation ◽

Particle Model ◽

Rayleigh Gas

Download Full-text

Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2018143 ◽

2018 ◽

Vol 38 (7) ◽

pp. 3299-3355

Author(s):

Karsten Matthies ◽

◽

George Stone

Keyword(s):

Boltzmann Equation ◽

Linear Boltzmann Equation ◽

Rayleigh Gas

Download Full-text

Spectral properties and finite range elementary solutions of the linear Boltzmann equation

Bulletin de la Classe des sciences ◽

10.3406/barb.1973.60788 ◽

1973 ◽

Vol 59 (1) ◽

pp. 926-947

Author(s):

C. Syros

Keyword(s):

Boltzmann Equation ◽

Spectral Properties ◽

Linear Boltzmann Equation ◽

Finite Range

Download Full-text

A Variance Reduction Approach for Monte Carlo Solutions of the Non-Linear Boltzmann Equation

ASME 3rd International Conference on Microchannels and Minichannels, Part B cont’d ◽

10.1115/icmm2005-75099 ◽

2005 ◽

Author(s):

Lowell L. Baker ◽

Nicolas G. Hadjiconstantinou

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Variance Reduction ◽

Linear Boltzmann Equation ◽

Non Linear ◽

Reduction Approach

Download Full-text

On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation

Journal of Statistical Physics ◽

10.1007/bf01048054 ◽

1993 ◽

Vol 72 (1-2) ◽

pp. 355-380 ◽

Cited By ~ 15

Author(s):

Rolf Pettersson

Keyword(s):

Boltzmann Equation ◽

Strong Convergence ◽

Linear Boltzmann Equation ◽

Convergence To Equilibrium ◽

Weak And Strong Convergence

Download Full-text

Existence problems of the non-linear Boltzmann equation

Trends and Applications of Pure Mathematics to Mechanics - Lecture Notes in Physics ◽

10.1007/3-540-12916-2_52 ◽

1984 ◽

pp. 63-95 ◽

Cited By ~ 5

Author(s):

W. Fiszdon ◽

M. Lachowicz ◽

A. Palczewski

Keyword(s):

Boltzmann Equation ◽

Linear Boltzmann Equation ◽

Non Linear

Download Full-text

Cluster Computing for Transient Simulations of the Linear Boltzmann Equation on Irregular Three-Dimensional Domains

Lecture Notes in Computer Science - Computational Science – ICCS 2005 ◽

10.1007/11428862_6 ◽

2005 ◽

pp. 41-48

Author(s):

Matthias K. Gobbert ◽

Mark L. Breitenbach ◽

Timothy S. Cale

Keyword(s):

Boltzmann Equation ◽

Cluster Computing ◽

Three Dimensional ◽

Linear Boltzmann Equation ◽

Transient Simulations

Download Full-text

On Stationary and Time-Dependent Solutions to the Linear Boltzmann Equation

10.1063/1.1581524 ◽

2003 ◽

Author(s):

Rolf Pettersson

Keyword(s):

Boltzmann Equation ◽

Time Dependent ◽

Linear Boltzmann Equation

Download Full-text

A non-linear Boltzmann equation with analytic solutions

Journal of Physics A General Physics ◽

10.1088/0305-4470/11/2/017 ◽

1978 ◽

Vol 11 (2) ◽

pp. 423-434 ◽

Cited By ~ 8

Author(s):

S Rouse ◽

S Simons

Keyword(s):

Boltzmann Equation ◽

Analytic Solutions ◽

Linear Boltzmann Equation ◽

Non Linear

Download Full-text

On Solutions to the Linear Boltzmann Equation for Granular Gases

Transport Theory and Statistical Physics ◽

10.1081/tt-200053937 ◽

2004 ◽

Vol 33 (5-7) ◽

pp. 527-543 ◽

Cited By ~ 8

Author(s):

Rolf Pettersson

Keyword(s):

Boltzmann Equation ◽

Linear Boltzmann Equation ◽

Granular Gases

Download Full-text

Solutions of the linear Boltzmann equation and some Dirichlet series

Forum Mathematicum ◽

10.1515/form.2011.058 ◽

2012 ◽

Vol 24 (2) ◽

Author(s):

Alexander V. Bobylev ◽

Irene M. Gamba

Keyword(s):

Boltzmann Equation ◽

Dirichlet Series ◽

Linear Boltzmann Equation

Download Full-text