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On the controllability of the Vlasov–Poisson system

Glass, Olivier (2003), On the controllability of the Vlasov–Poisson system, Journal of Differential Equations, 195, 2, p. 332-379. http://dx.doi.org/10.1016/S0022-0396(03)00066-4

Type
Article accepté pour publication ou publié
Date
2003
Journal name
Journal of Differential Equations
Volume
195
Number
2
Publisher
Elsevier
Pages
332-379
Publication identifier
Metadata
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Author(s)
Glass, Olivier
Abstract (EN)
In this paper, we study the controllability of the Vlasov–Poisson system in a periodic domain, by means of an interior control located in an spatial subdomain. The first result proves the local exact zero controllability in the two-dimensional torus between two small acceptable distribution functions, with an arbitrary control zone. A second result establishes the global exact controllability in arbitrary dimension, provided the control zone satisfies the condition that it contains a hyperplane of the torus.
Subjects / Keywords
Controllability; Vlasov–Poisson system