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