no. 2
Exact controllability in fluid-solid structure : the Helmholtz model
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 180-203.

A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability results.

DOI : 10.1051/cocv:2005006
Classification : 35B37, 93C20
Mots clés : fluid - solid structure, exact controllability 
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     title = {Exact controllability in fluid-solid structure : the {Helmholtz} model},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {180--203},
     publisher = {EDP-Sciences},
     volume = {11},
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     year = {2005},
     doi = {10.1051/cocv:2005006},
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Raymond, Jean-Pierre; Vanninathan, Muthusamy. Exact controllability in fluid-solid structure : the Helmholtz model. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 180-203. doi : 10.1051/cocv:2005006. http://www.numdam.org/articles/10.1051/cocv:2005006/

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