Controllability of a 1-D tank containing a fluid modeled by a

Controllability of a 1-D tank containing a fluid modeled by a

5007-35-621
Ademir Fernando Fazoto* ([email protected]), Ilha do Fundao - CT - Bloco C, Rio de
Janeiro, RJ 21941-909, Brazil. Controllability of a 1-D tank containing a fluid modeled by a
Boussinesq system.
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.
Joint work with Lionel Rosier and Dugan Nina (Received May 15, 2013)
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