Pré-Publication, Document De Travail Année : 2022

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

Résumé

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.

Fichier principal
Vignette du fichier
exact_controlability_vortex_system.pdf (394.33 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

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

Licence

Identifiants

Citer

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

Altmetric

Partager

  • More