Abstract
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 language | American English |
|---|---|
| Pages (from-to) | 379-402 |
| Number of pages | 24 |
| Journal | Evolution Equations and Control Theory |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| State | Indexed - 2013 |
| Externally published | Yes |
Bibliographical note
Funding Information:DN and LR were partially supported by the Agence Nationale de la Recherche (ANR), Project CISIFS, grant ANR-09-BLAN-0213-02. DN was also supported by Capes and CNPq (Brazil) via a Fellowship and LR by the MathAmsud project PNDW. AFP was partially supported by CNPq (Brazil) and the Cooperation Agreement Brazil-France.
Publisher Copyright:
© 2013, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Boussinesq system
- Controllability
- Korteweg-de Vries equation
- Tank problem