[Contrôlabilité de quelques systèmes paraboliques couplés avec un seul contrôle]
Dans cette Note, on présente une nouvelle approche qui permet de prouver de nouveaux résultats de contrôlabilité pour quelques systèmes paraboliques couplés considerés dans un domaine borné Ω de et contrôlés par un seul contrôle distribué. On analyse, comme exemple modèle, la contrôlabilité nulle d'un système linéaire de champ de phases. D'abord, on contrôle le système par deux contrôles. Ensuite, on élimine le contrôle artificiel introduit. Des estimations globales de Carleman et la régularité parabolique sont employées.
In this Note we present a new approach which allows one to prove new controllability results for some coupled parabolic systems considered in a bounded domain Ω of when one controls by a unique distributed control. We analyze, as a model example, the null controllability of a linear phase field system. First, one controls the system by two controls. Then, one eliminates the introduced fictitious control. Global Carleman estimates and the parabolic regularity are used.
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@article{CRMATH_2005__340_2_125_0,
author = {Gonz\'alez-Burgos, Manuel and P\'erez-Garc{\'\i}a, Rosario},
title = {Controllability of some coupled parabolic systems by one control force},
journal = {Comptes Rendus. Math\'ematique},
pages = {125--130},
publisher = {Elsevier},
volume = {340},
number = {2},
year = {2005},
doi = {10.1016/j.crma.2004.11.025},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.11.025/}
}
TY - JOUR AU - González-Burgos, Manuel AU - Pérez-García, Rosario TI - Controllability of some coupled parabolic systems by one control force JO - Comptes Rendus. Mathématique PY - 2005 SP - 125 EP - 130 VL - 340 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.11.025/ DO - 10.1016/j.crma.2004.11.025 LA - en ID - CRMATH_2005__340_2_125_0 ER -
%0 Journal Article %A González-Burgos, Manuel %A Pérez-García, Rosario %T Controllability of some coupled parabolic systems by one control force %J Comptes Rendus. Mathématique %D 2005 %P 125-130 %V 340 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.11.025/ %R 10.1016/j.crma.2004.11.025 %G en %F CRMATH_2005__340_2_125_0
González-Burgos, Manuel; Pérez-García, Rosario. Controllability of some coupled parabolic systems by one control force. Comptes Rendus. Mathématique, Tome 340 (2005) no. 2, pp. 125-130. doi : 10.1016/j.crma.2004.11.025. http://www.numdam.org/articles/10.1016/j.crma.2004.11.025/
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