A gradient flow approach to linear Boltzmann equations
Mathematical Physics
2020-09-03 v3 Analysis of PDEs
math.MP
Abstract
We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows.
Cite
@article{arxiv.1707.09204,
title = {A gradient flow approach to linear Boltzmann equations},
author = {Giada Basile and Dario Benedetto and Lorenzo Bertini},
journal= {arXiv preprint arXiv:1707.09204},
year = {2020}
}