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Detailed view Article in peer-reviewed journal
ESAIM: Proceedings 17 (2007) 67-79
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A method for detecting pollution in dissipative systems with incomplete data
Yamina Miloudi1, Ousseynou Nakoulima2, 3, Abdennebi Omrane2, 3

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.
1:  Département de Mathématiques
2:  CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée
3:  AOC - Analyse Optimisation Controle
Dissipative problems – ecosystems – incomplete data – parabolic equation – null-controllability – sentinels – observation – pollution – Carleman inequalities – Inverse problems