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

DOI10.3934/krm.2018008zbMath1376.82084arXiv1603.07574OpenAlexW2311760480MaRDI QIDQ2411093

Karsten Matthies, George Stone, Florian Theil

Publication date: 20 October 2017

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

Full work available at URL: https://arxiv.org/abs/1603.07574

zbMATH Keywords

semigroupsBoltzmann equationderivationRayleigh gas

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Boltzmann equations (35Q20)

Related Items

Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas ⋮ Kinetic description of a Rayleigh gas with annihilation

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