APSYSYOCMay 5, 2011

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

arXiv:1105.098521 citationsh-index: 21
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For researchers in control theory and plasma physics, this is an incremental extension of prior work to more realistic force fields.

The paper extends controllability results for Vlasov-Poisson systems to include external force fields (bounded or magnetic), using a local interior control. It proves that the system remains controllable under these conditions.

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.

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