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Preprints, Working Papers, ... Year : 2022

Exact controllability of the vortex system by means of a single vortex

Abstract

In this paper, we investigate the controllability of the point vortex system by means of a single vortex. The point vortex system is a well-known simplied model for the incompressible Euler equation, where the vorticity is concentrated in a nite number of Dirac masses. We use one of the vortices as a control, and prove that by suitably choosing its trajectory, we can drive all other vortices to a given prescribed position in arbitrary time.
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Dates and versions

hal-03775408 , version 1 (13-09-2022)

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Justine Dorsz, Olivier Glass. Exact controllability of the vortex system by means of a single vortex. 2022. ⟨hal-03775408⟩
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