Mathematical investigation of the Boltzmann collisional operator

2000/06/16 by Chen, C. Y.
#Data Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Statistics and Probability (physics.data-an)

paper · doi:10.48550/arxiv.physics/0006038

Abstract

Problems associated with the Boltzmann collisional operator are unveiled and discussed. By careful investigation it is shown that collective effects of molecular collisions in the six-dimensional position and velocity space are more sophisticated than they appear to be.

Related

• A path-integral approach to the collisional Boltzmann gas
• Quantitative linearized study of the Boltzmann collision operator and\n applications
• Paradoxes in the Boltzmann kinetic theory
• Validité de la théorie cinétique des gaz: au-delà de l'équation de Boltzmann [d'après T. Bodineau, I. Gallagher, L. Saint-Raymond, S. Simonella]
• Generalized Fluid Models of the Braginskii Type. Part 2. The Boltzmann Operator