The Vlasov-Poisson system with a perfectly conducting wall: Convex domains
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910178036678656 |
|---|---|
| author | Huang, Wenrui Pausader, Benoît Suzuki, Masahiro |
| author_facet | Huang, Wenrui Pausader, Benoît Suzuki, Masahiro |
| contents | We consider the Vlasov--Poisson system in a $C^3$ convex domain $D$ with a perfectly conducting wall. We introduce the asymptotic domain $D_{\infty}$ for the domain $D$. Then under acceptable assumptions on $D$, we show that for localized initial data, the velocity of particles is asymptotically supported in the (closure of the) asymptotic domain $\overline{D_{\infty}}$ and the solutions exhibit the asymptotics of modified scattering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Vlasov-Poisson system with a perfectly conducting wall: Convex domains Huang, Wenrui Pausader, Benoît Suzuki, Masahiro Analysis of PDEs We consider the Vlasov--Poisson system in a $C^3$ convex domain $D$ with a perfectly conducting wall. We introduce the asymptotic domain $D_{\infty}$ for the domain $D$. Then under acceptable assumptions on $D$, we show that for localized initial data, the velocity of particles is asymptotically supported in the (closure of the) asymptotic domain $\overline{D_{\infty}}$ and the solutions exhibit the asymptotics of modified scattering. |
| title | The Vlasov-Poisson system with a perfectly conducting wall: Convex domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.13434 |