Nous considérons les équations d'évolution qui régissent la dynamique d'une coque mince dans la théorie de Naghdi. Nous établissons la contrôlabilité exacte grâce à deux contrôles qui agissent sur une partie de la frontière latérale de la coque sous la condition géométrique suffisante que sa surface moyenne ne s'éloigne « pas trop » d'un plan dans un sens qui est précisé dans la preuve.
We consider the second order evolution equations of the displacement and rotation fields in any points of the middle surface of a shell in Naghdi's formulation. We establish that, with two controls, the exact controllability on part of the lateral boundary is achieved under the sufficient geometrical condition that the middle surface of the shell is “not too far” from a plane in a sense that is made more precise in the proof.
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@article{CRMATH_2010__348_5-6_341_0, author = {Miara, Bernadette and Perla, Gustavo}, title = {Exact controllability of {Naghdi} shells}, journal = {Comptes Rendus. Math\'ematique}, pages = {341--346}, publisher = {Elsevier}, volume = {348}, number = {5-6}, year = {2010}, doi = {10.1016/j.crma.2009.12.019}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.12.019/} }
TY - JOUR AU - Miara, Bernadette AU - Perla, Gustavo TI - Exact controllability of Naghdi shells JO - Comptes Rendus. Mathématique PY - 2010 SP - 341 EP - 346 VL - 348 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.12.019/ DO - 10.1016/j.crma.2009.12.019 LA - en ID - CRMATH_2010__348_5-6_341_0 ER -
%0 Journal Article %A Miara, Bernadette %A Perla, Gustavo %T Exact controllability of Naghdi shells %J Comptes Rendus. Mathématique %D 2010 %P 341-346 %V 348 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.12.019/ %R 10.1016/j.crma.2009.12.019 %G en %F CRMATH_2010__348_5-6_341_0
Miara, Bernadette; Perla, Gustavo. Exact controllability of Naghdi shells. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 341-346. doi : 10.1016/j.crma.2009.12.019. http://archive.numdam.org/articles/10.1016/j.crma.2009.12.019/
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