Modulation of the Monokinetic Limit for Models of Collective Dynamics
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915433838280704 |
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| author | Chertock, Alina Shvydkoy, Roman Teolis, Trevor |
| author_facet | Chertock, Alina Shvydkoy, Roman Teolis, Trevor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modulation of the Monokinetic Limit for Models of Collective Dynamics Chertock, Alina Shvydkoy, Roman Teolis, Trevor Analysis of PDEs Numerical Analysis 37A60, 92D50 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. |
| title | Modulation of the Monokinetic Limit for Models of Collective Dynamics |
| topic | Analysis of PDEs Numerical Analysis 37A60, 92D50 |
| url | https://arxiv.org/abs/2508.05478 |