Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system | Zendy

Dugan Nina | Zendy; Ademir F. Pazoto | Zendy; Lionel Rosier | Zendy

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

Author(s) -

Dugan Nina,

Ademir F. Pazoto,

Lionel Rosier

Publication year - 2013

Publication title -

evolution equations and control theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 19

eISSN - 2163-2480

pISSN - 2163-2472

DOI - 10.3934/eect.2013.2.379

Subject(s) - inviscid flow , controllability , conservative vector field , compressibility , fluid motion , korteweg–de vries equation , barotropic fluid , mathematical analysis , mathematics , physics , control theory (sociology) , mathematical physics , classical mechanics , mechanics , computer science , control (management) , nonlinear system , quantum mechanics , artificial intelligence

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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