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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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03775408
Contributor : Justine Dorsz Connect in order to contact the contributor
Submitted on : Tuesday, September 13, 2022 - 4:27:01 PM
Last modification on : Friday, September 16, 2022 - 3:27:43 AM

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  • HAL Id : hal-03775408, version 1
  • ARXIV : 2209.06483

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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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