On the controllability of the Vlasov-Poisson system in the presence of external force fields

Han-Kwan, Daniel; Glass, Olivier

Han-Kwan, Daniel; Glass, Olivier (2012), On the controllability of the Vlasov-Poisson system in the presence of external force fields, Journal of Differential Equations, 252, 10, p. 5453–5491. http://dx.doi.org/10.1016/j.jde.2012.02.007

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00590554/fr/

Date

2012

Journal name

Journal of Differential Equations

Volume

252

Number

Publisher

Elsevier

Pages

5453–5491

Abstract (EN)

In this work, we are interested in the controllability of Vlasov-Poisson systems in the presence of an external force field (namely a bounded force field or a magnetic field), by means of a local interior control. We are able to extend the results of [7], where the only present force was the self-consistent electric field.

Subjects / Keywords

external magnetic field; Vlasov-Poisson system; return method; controllability