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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2510.22753 |
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| _version_ | 1866909870753579008 |
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| author | Porat, Immanuel Ben Gagnebin, Antoine Iacobelli, Mikaela Junné, Jonathan |
| author_facet | Porat, Immanuel Ben Gagnebin, Antoine Iacobelli, Mikaela Junné, Jonathan |
| contents | We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times, provided they are finite initially, even when the external magnetic field $B=B(t,x)$ is space-time dependent. We deduce propagation of regularity, thereby implying the existence of global classical solutions. Moreover, we prove optimal stability estimates in the kinetic-Wasserstein distance on par with the unmagnetised case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields Porat, Immanuel Ben Gagnebin, Antoine Iacobelli, Mikaela Junné, Jonathan Analysis of PDEs We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times, provided they are finite initially, even when the external magnetic field $B=B(t,x)$ is space-time dependent. We deduce propagation of regularity, thereby implying the existence of global classical solutions. Moreover, we prove optimal stability estimates in the kinetic-Wasserstein distance on par with the unmagnetised case. |
| title | Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.22753 |