Pré-Publication, Document De Travail Année : 2019

Controllability of one-dimensional viscous free boundary flows

Résumé

In this work, we address the local controllability of a one-dimensional free boundary problem for a fluid governed by the viscous Burgers equation. The free boundary manifests itself as one moving end of the interval, and its evolution is given by the value of the fluid velocity at this endpoint. We prove that, by means of a control actuating along the fixed boundary, we may steer the fluid to constant velocity in addition to prescribing the free boundary's position, provided the initial velocities and interface positions are close enough.

Fichier principal
Vignette du fichier
burgers_control1d.pdf (214.17 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-02277740 , version 1 (03-09-2019)
hal-02277740 , version 2 (11-03-2021)

Licence

Identifiants

  • HAL Id : hal-02277740 , version 1

Citer

Borjan Geshkovski, Enrique Zuazua. Controllability of one-dimensional viscous free boundary flows. 2019. ⟨hal-02277740v1⟩
319 Consultations
638 Téléchargements

Partager

  • More