Geodesic
A method for detecting pollution in dissipative systems with incomplete data.
Y. Miloudi1 ; O. Nakoulima2 ; A. Omrane1
1 Département de Mathématiques, Université d'Oran Es-Sénia, BP No 1524 El M'Naouer, 31000 Oran (Algérie), e-mail :
2 Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe à Pitre, Guadeloupe (FWI), e-mail :
ESAIM. Proceedings, Tome 17 (2007), pp. 67-79.

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Modelling environmental problems leads to mathematical systems with missing data. For instance, weather problems have generally missing initial conditions. The paper is concerned with identifying pollution terms arising in the state equation of some dissipative system with incomplete initial condition. To this aim the so-called sentinel method is used. Here, the problem of determining a sentinel is equivalent to a null-controllability problem for which Carleman inequalities are revisited.
DOI : 10.1051/proc:071706

Y. Miloudi 1 ; O. Nakoulima 2 ; A. Omrane 1

1 Département de Mathématiques, Université d'Oran Es-Sénia, BP No 1524 El M'Naouer, 31000 Oran (Algérie), e-mail :
2 Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe à Pitre, Guadeloupe (FWI), e-mail : 
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Y. Miloudi; O. Nakoulima; A. Omrane. A method for detecting pollution in dissipative systems with incomplete data.. ESAIM. Proceedings, Tome 17 (2007), pp. 67-79. doi : 10.1051/proc:071706. http://geodesic.mathdoc.fr/articles/10.1051/proc:071706/

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