Classical limit of the relativistic Vlasov-Maxwell-Landau system
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866909919874121728 |
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| author | Cao, Chuqi He, Ling-Bing Lei, Yuanjie Xiao, Qinghua |
| author_facet | Cao, Chuqi He, Ling-Bing Lei, Yuanjie Xiao, Qinghua |
| contents | The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed electromagnetic waves to instantaneous Coulomb interactions, and from relativistic to Newtonian particle dynamics. We rigorously justify this limit (mathematically corresponding to the light speed $c \to \infty$) in a periodic box via three key technical advances: establishing a uniform-in-$c$ coercivity estimate for the relativistic Landau collision operator, constructing a novel weighted energy functional to overcome the weakening dissipation of the electromagnetic field at large $c$, and proving a corresponding global well-posedness result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical limit of the relativistic Vlasov-Maxwell-Landau system Cao, Chuqi He, Ling-Bing Lei, Yuanjie Xiao, Qinghua Analysis of PDEs The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed electromagnetic waves to instantaneous Coulomb interactions, and from relativistic to Newtonian particle dynamics. We rigorously justify this limit (mathematically corresponding to the light speed $c \to \infty$) in a periodic box via three key technical advances: establishing a uniform-in-$c$ coercivity estimate for the relativistic Landau collision operator, constructing a novel weighted energy functional to overcome the weakening dissipation of the electromagnetic field at large $c$, and proving a corresponding global well-posedness result. |
| title | Classical limit of the relativistic Vlasov-Maxwell-Landau system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.18500 |