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 |
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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
Publisher Copyright:© 2013, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Boussinesq system
- Controllability
- Korteweg-de Vries equation
- Tank problem