First order non-instantaneous corrections in collisional kinetic alignment models
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912459783143424 |
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| author | Kanzler, Laura Moschella, Carmela Schmeiser, Christian |
| author_facet | Kanzler, Laura Moschella, Carmela Schmeiser, Christian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First order non-instantaneous corrections in collisional kinetic alignment models Kanzler, Laura Moschella, Carmela Schmeiser, Christian Analysis of PDEs 35Q20, 35B40, 35Q70 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. |
| title | First order non-instantaneous corrections in collisional kinetic alignment models |
| topic | Analysis of PDEs 35Q20, 35B40, 35Q70 |
| url | https://arxiv.org/abs/2503.05686 |