Moment propagation of a Vlasov-Poisson system for ions flow in the quasi-neutral regime
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911364436459520 |
|---|---|
| author | Zhang, Zhiwen |
| author_facet | Zhang, Zhiwen |
| contents | In light of recent work in the global well-posedness of solutions for an ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and Iacobelli, the current work focuses on the moment propagation of the corresponding system in quasi-neutral regime. Such moment propagation result relies on an estimate of $Q_*(t)=|V(t;0,x,v)-V(0;0,x,v)|$, where $V(s;t,x,v)$ represents the solution of the characteristic ordinary differential equation associated with the Vlasov-Poisson system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moment propagation of a Vlasov-Poisson system for ions flow in the quasi-neutral regime Zhang, Zhiwen Analysis of PDEs Mathematical Physics In light of recent work in the global well-posedness of solutions for an ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and Iacobelli, the current work focuses on the moment propagation of the corresponding system in quasi-neutral regime. Such moment propagation result relies on an estimate of $Q_*(t)=|V(t;0,x,v)-V(0;0,x,v)|$, where $V(s;t,x,v)$ represents the solution of the characteristic ordinary differential equation associated with the Vlasov-Poisson system. |
| title | Moment propagation of a Vlasov-Poisson system for ions flow in the quasi-neutral regime |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2402.02786 |