Stationary quantum BGK model for bosons and fermions in a bounded interval
Analysis of PDEs
2020-01-29 v1
Abstract
In this paper, we consider the existence problem for a stationary relaxational models of the quantum Boltzmann equation. More precisely, we establish the existence of mild solution to the fermionic or bosonic quantum BGK model in a slab with inflow boundary data. Unlike the classical case, it is necessary to verify that the quantum local equilibrium state is well-defined, and the transition from the non-condensed state to the condensated state (Bosons), or from the non-saturated state to the saturated state (Fermions) does not arise in our solution space.
Cite
@article{arxiv.1906.08961,
title = {Stationary quantum BGK model for bosons and fermions in a bounded interval},
author = {Gi-Chan Bae and Seok-Bae Yun},
journal= {arXiv preprint arXiv:1906.08961},
year = {2020}
}