Controllability of a 1-D tank containing a fluid modeled by a boussinesq system

Dugan Nina, Ademir F. Pazoto, Lionel Rosier

Research output: Contribution to journalOriginal Articlepeer-review


This paper is concerned with the exact controllability problem for a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal motion. We take as fluid model a Boussinesq system of KdV-KdV type, and as control the acceleration of the tank. We derive for the linearized system an exact controllability result in small time in an appropriate space.

Original languageAmerican English
Pages (from-to)379-402
Number of pages24
JournalEvolution Equations and Control Theory
Issue number2
StateIndexed - 2013
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2013, American Institute of Mathematical Sciences. All rights reserved.


  • Boussinesq system
  • Controllability
  • Korteweg-de Vries equation
  • Tank problem


Dive into the research topics of 'Controllability of a 1-D tank containing a fluid modeled by a boussinesq system'. Together they form a unique fingerprint.

Cite this