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| Detailed view | Article in peer-reviewed journal |
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| ESAIM: Proceedings 17 (2007) 67-79 |
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| A method for detecting pollution in dissipative systems with incomplete data |
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| Yamina Miloudi1Ousseynou Nakoulima2, 3Abdennebi Omrane2, 3 |
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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. |
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| 1: | Département de Mathématiques |
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| 2: | CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée |
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| 3: | AOC - Analyse Optimisation Controle |
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| Dissipative problems – ecosystems – incomplete data – parabolic equation – null-controllability – sentinels – observation – pollution – Carleman inequalities – Inverse problems |
| hal-00720818, version 1 | |
| http://hal-uag.archives-ouvertes.fr/hal-00720818 | |
| oai:hal-uag.archives-ouvertes.fr:hal-00720818 | |
| From: Pamphile Isch | |
| Submitted on: Friday, 27 July 2012 15:42:01 | |
| Updated on: Friday, 27 July 2012 16:02:58 | |
