Stationary Particle Systems Approximating Stationary Solutions to the Boltzmann Equation

DOI10.1137/S0036141096309988zbMath0911.60081OpenAlexW2044885104MaRDI QIDQ4389050

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Publication date: 11 May 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141096309988

zbMATH Keywords

rate of convergencestationary Boltzmann equationstochastic particle systemdiffusive boundary conditions

Mathematics Subject Classification ID

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)

Related Items (12)

Knudsen type group for time in ℝ and related Boltzmann type equations ⋮ Existence of Solutions to the Stationary Linear Boltzmann Equation ⋮ Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision Kernel ⋮ A stochastic particle system approximating the BGK equation ⋮ Quasi-invariance under flows generated by non-linear PDEs ⋮ Absolute Continuity under Time Shift of Trajectories and Related Stochastic Calculus ⋮ Deviational particle Monte Carlo for the Boltzmann equation ⋮ Asymptotic expansion of the mean-field approximation ⋮ Unnamed Item ⋮ The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error ⋮ On the size of chaos in the mean field dynamics ⋮ On the particle approximation to stationary solutions of the Boltzmann equation

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