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|
|Number of pages||24|
|Journal||Evolution Equations and Control Theory|
|State||Indexed - 2013|
Bibliographical noteFunding 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.
© 2013, American Institute of Mathematical Sciences. All rights reserved.
- Boussinesq system
- Korteweg-de Vries equation
- Tank problem