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math.AP2017★ 1 cited
Derivation of a Non-autonomous Linear Boltzmann Equation from a Heterogeneous Rayleigh Gas
Karsten Matthies, George Stone
A linear Boltzmann equation with nonautonomous collision operator is rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics of a Rayleigh gas where a tagged…
math.AP2016★ 5 cited
The Derivation of the Linear Boltzmann Equation from a Rayleigh Gas Particle Model
Karsten Matthies, George Stone, Florian Theil
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas…