Recent results for the non linear Kac model

DOI10.1080/00411458708204315zbMath0624.76105OpenAlexW2079890361MaRDI QIDQ3026639

Henri Cornille

Publication date: 1987

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458708204315

zbMATH Keywords

Boltzmann equationlocal densitylocal energyexternal forceExact homogeneous distributionsmicroscopic model of cross- sectionnon linear Kac modelsemi-inhomogeneous modelTjon overpopulation effect

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• Unnamed Item
• Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation
• Semi-inhomogeneous solutions of the Kac model of Boltzmann equations
• Some classes of exact solutions of the nonlinear Boltzmann equation