@inproceedings{c0d1a70c09d44cee9a95bb584c09d443,
title = "The boltzmann equation over ℝD: Dispersion versus dissipation",
abstract = "The Boltzmann equation of the kinetic theory of gases involves two competing processes. Dissipation—or entropy production—due to the collisions between gas molecules drives the gas towards local thermodynamic (Maxwellian) equilibrium. If the spatial domain is the Euclidean space ℝD, the ballistic transport of gas molecules between collisions results in a dispersion effect which enhances the rarefaction of the gas, and offsets the effect of dissipation. The competition between these two effects leads to a scattering regime for the Boltzmann equation over ℝD with molecular interaction satisfyingGrad{\textquoteright}s angular cutoff assumption. The present paper reports on results in this direction obtained in collaboration with Bardos, Gamba and Levermore [arxiv:1409.1430] and discusses a fewopen questions related to thiswork.",
keywords = "Boltzmann H Theorem, Boltzmann collision integral, Boltzmann equation, Free transport, Global maxwellian, Large time limit, Scattering operator",
author = "Fran{\c c}ois Golse",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 3rd International conference on particle systems and partial differential equations, PS-PDEs 2014 ; Conference date: 17-12-2014 Through 19-12-2014",
year = "2016",
month = jan,
day = "1",
doi = "10.1007/978-3-319-32144-8\_7",
language = "English",
isbn = "9783319321424",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "145--166",
editor = "Patr{\'i}cia Gon{\c c}alves and Soares, \{Ana Jacinta\}",
booktitle = "From Particle Systems to Partial Differential Equations III",
}