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

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Date
2012
Link to item file
http://hal.archives-ouvertes.fr/hal-00590554/fr/
Dewey
Analyse
Sujet
external magnetic field; Vlasov-Poisson system; return method; controllability
Journal issue
Journal of Differential Equations
Volume
252
Number
10
Publication date
2012
Article pages
5453–5491
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.jde.2012.02.007
URI
https://basepub.dauphine.fr/handle/123456789/6351
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Author
Han-Kwan, Daniel
Glass, Olivier
Type
Article accepté pour publication ou publié
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.