Particle approximation of the BGK equation

DOI10.1007/s00205-021-01621-yzbMath1467.82070arXiv2002.10535OpenAlexW3007060561MaRDI QIDQ2021747

Maxime Hauray, Mario Pulvirenti, Paolo Buttà

Publication date: 27 April 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10535

zbMATH Keywords

BGK equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (1)

A stochastic particle system approximating the BGK equation

Cites Work

• The distance between two random vectors wigh given dispersion matrices
• A global existence theorem for the nonlinear BGK equation
• Global existence to the BGK model of Boltzmann equation
• Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model
• The mathematical theory of dilute gases
• The BGK equation as the limit of an \(N\)-particle system
• From the BGK model to the Navier–Stokes equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: Particle approximation of the BGK equation