First order non-instantaneous corrections in collisional kinetic alignment models
Analysis of PDEs
2025-07-03 v2
Abstract
In this work the standard kinetic theory assumption of instantaneous collisions is lifted. As a continuation of of a previous paper by Kanzler, Schmeiser, and Tora [KRM, 2024], a model for higher order non-instantaneous alignment collisions is presented and studied in the asymptotic regime of short collision duration. A first order accurate approximative model is derived as a correction to the instantaneous limit. Rigorous results on its well-posedness and on the instantaneous limit are proven. The approximative model is a system of two equations. An equally accurate scalar approximation is suggested.
Cite
@article{arxiv.2503.05686,
title = {First order non-instantaneous corrections in collisional kinetic alignment models},
author = {Laura Kanzler and Carmela Moschella and Christian Schmeiser},
journal= {arXiv preprint arXiv:2503.05686},
year = {2025}
}
Comments
15 pages