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

Olivier Glass (1) , Daniel Han-Kwan (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 DMA - Département de Mathématiques et Applications - ENS Paris

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.

Mots clés: Vlasov-Poisson system; external magnetic field; controllability; return method

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]

Olivier Glass, Daniel Han-Kwan. On the controllability of the Vlasov-Poisson system in the presence of external force fields. Journal of Differential Equations, 2012, pp.Volume 252, Issue 10, Pages 5453-5491. ⟨10.1016/j.jde.2012.02.007⟩. ⟨hal-00590554⟩