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Pré-Publication, Document De Travail Année : 2016

On the controllability of the 2-D Vlasov-Stokes system

Iván Moyano

Résumé

In this paper we prove an exact controllability result for the Vlasov-Stokes system in the two-dimensional torus with small data by means of an internal control. We show that one can steer, in arbitrarily small time, any initial datum of class C 1 satisfying a smallness condition in certain weighted spaces to any final state satisfying the same conditions. The proof of the main result is achieved thanks to the return method and a Leray-Schauder fixed-point argument.
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Dates et versions

hal-01220050 , version 1 (24-10-2015)
hal-01220050 , version 2 (12-01-2016)

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Iván Moyano. On the controllability of the 2-D Vlasov-Stokes system. 2016. ⟨hal-01220050v2⟩
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