A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909770526490624 |
|---|---|
| author | Breton, Emile |
| author_facet | Breton, Emile |
| contents | We prove that under a generic asymptotic condition on the charge, the small data solutions to the Vlasov-Maxwell system do not verify linear scattering. In other words, we show the non-$L^1$ asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system Breton, Emile Analysis of PDEs Mathematical Physics 35Q83 (Primary), 35B40 (Secondary) We prove that under a generic asymptotic condition on the charge, the small data solutions to the Vlasov-Maxwell system do not verify linear scattering. In other words, we show the non-$L^1$ asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations. |
| title | A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system |
| topic | Analysis of PDEs Mathematical Physics 35Q83 (Primary), 35B40 (Secondary) |
| url | https://arxiv.org/abs/2509.04025 |