Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential
Mathematical Physics
2015-05-05 v3 Analysis of PDEs
math.MP
Spectral Theory
Abstract
We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an estimate on the return to equilibrium. This is done using a scaling argument and non-semiclassical hypocoercive estimate.
Keywords
Cite
@article{arxiv.1410.8738,
title = {Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential},
author = {Virgile Robbe},
journal= {arXiv preprint arXiv:1410.8738},
year = {2015}
}
Comments
17 pages