Related Experiment Video
Updated: Aug 6, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System
Published on: October 1, 2019
First Order Non-Instantaneous Corrections in Collisional Kinetic Alignment Models
Laura Kanzler1, Carmela Moschella2,3, Christian Schmeiser2
1Sorbonne Université, UMR CNRS 7598, Université de Paris Cité, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
Abstract:
In this work the standard kinetic theory assumption of instantaneous collisions is lifted. 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.
Related Concept Videos
Elastic Collisions: Introduction
Elastic Collisions: Case Study
Reduced Mass Coordinates: Isolated Two-body Problem
Kinematic Equations - II
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
Types Of Collisions - I
Kinematic Equations - III
Using the kinematic equations,...

