Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
Mathematical Physics
2014-08-01 v2 Quantum Gases
math.MP
Abstract
A fully non-linear kinetic Boltzmann equation for anyons and large initial data is studied in a periodic 1d setting. Strong L1 solutions are obtained for the Cauchy problem. The main results concern global existence, uniqueness, and stability.
Keywords
Cite
@article{arxiv.1406.0265,
title = {Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation},
author = {L. Arkeryd and A. Nouri},
journal= {arXiv preprint arXiv:1406.0265},
year = {2014}
}
Comments
22 pages. In this version an earlier error has been corrected, and with it a study of the time asymptotics moved to a future paper. arXiv admin note: text overlap with arXiv:1207.0596