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