Mathematics > Analysis of PDEs
[Submitted on 7 Mar 2025
(v1)
, last revised 2 Jul 2025 (this version, v2)]
Title: First order non-instantaneous corrections in collisional kinetic alignment models
Title: 一阶非瞬时校正的碰撞动力学对齐模型
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.
Submission history
From: Carmela Moschella [view email][v1] Fri, 7 Mar 2025 18:50:35 UTC (85 KB)
[v2] Wed, 2 Jul 2025 09:22:37 UTC (22 KB)
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