Modulation of the Monokinetic Limit for Models of Collective Dynamics
Analysis of PDEs
2025-08-08 v1 Numerical Analysis
Numerical Analysis
Abstract
In this work, we perform modulation analysis of monokinetic limits from the kinetic Cucker- Smale model to the pressureless Euler alignment system. Two regimes are considered -- a strong Fokker- Planck force with vanishing noise and Knudsen number, and a pure noiseless Vlasov scheme. In the former case, we demonstrate convergence of the modulated profile to the standard Gaussian distribution, while in the latter case, the distribution converges to a profile satisfying an explicit transport equation along limiting characteristics.
Keywords
Cite
@article{arxiv.2508.05478,
title = {Modulation of the Monokinetic Limit for Models of Collective Dynamics},
author = {Alina Chertock and Roman Shvydkoy and Trevor Teolis},
journal= {arXiv preprint arXiv:2508.05478},
year = {2025}
}