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arXiv · 2508.05478

Modulation of the Monokinetic Limit for Models of Collective Dynamics

Alina Chertock·Roman Shvydkoy·Trevor Teolis
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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.

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Alina Chertock, Roman Shvydkoy, Trevor Teolis. 2025-08-07. Modulation of the Monokinetic Limit for Models of Collective Dynamics. https://arxiv.org/abs/2508.05478

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