We study the time evolution of a Vlasov-Poisson plasma moving in a torus, in which it is confined by an unbounded external magnetic field. This field depends on the distance from the border of the torus, is tangent to the border and singular on it. We prove the existence and uniqueness of the solution, and also its confinement inside the torus for all times, i.e. the external field behaves like a magnetic mirror.
On a Vlasov-Poisson plasma confined in a torus by a magnetic mirror / Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 427:(2015), pp. 31-46. [10.1016/j.jmaa.2015.02.012]
On a Vlasov-Poisson plasma confined in a torus by a magnetic mirror
CAVALLARO, GUIDO;MARCHIORO, Carlo
2015
Abstract
We study the time evolution of a Vlasov-Poisson plasma moving in a torus, in which it is confined by an unbounded external magnetic field. This field depends on the distance from the border of the torus, is tangent to the border and singular on it. We prove the existence and uniqueness of the solution, and also its confinement inside the torus for all times, i.e. the external field behaves like a magnetic mirror.File | Dimensione | Formato | |
---|---|---|---|
Caprino_On-a-Vlasov–Poisson_2015.pdf
solo gestori archivio
Note: Articolo
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
354.49 kB
Formato
Adobe PDF
|
354.49 kB | Adobe PDF | Contatta l'autore |
Caprino_preprint_On-a-Vlasov–Poisson_2015.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Creative commons
Dimensione
179.1 kB
Formato
Unknown
|
179.1 kB | Unknown |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.