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| HAL: hal-00400438, version 1 |
| DOI: 10.1093/imamci/dnl013 |
| Detailed view |  Export this paper |
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| IMA Journal of Mathematical Control and Information 2, 24 (2006) 163 -175 |
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| Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models |
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| Bouchra Aylaj 1, 2Mohamed Elarbi Achhab |
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| (2006-06-30) |
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| We prove the global existence of the state trajectories for a class of non-linear systems arising from convection-dispersion-reaction processes. It is also shown that there is at least one steady state in the set of physically feasible states for such systems. The uniqueness and the stability analysis of this steady-state solution are discussed. Our approach is based on the analysis of a non-linear set of partial differential equations, using the upper and lower solutions, dissipativity properties, a subtangential condition and the positivity of the related C0-semigroup. |
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| 1: | ANUBIS (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR |
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| 2: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| Subject | : | Mathematics/Analysis of PDEs Mathematics/Optimization and Control Mathematics/Dynamical Systems |
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| tubular reactor – non-linear distributed parameter systems – equilibrium profile – positive C0-semigroup – compact semigroup – dissipativity. |
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| hal-00400438, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00400438 | |
| oai:hal.archives-ouvertes.fr:hal-00400438 | |
| From: Bouchra Aylaj | |
| Submitted on: Tuesday, 30 June 2009 17:10:26 | |
| Updated on: Tuesday, 30 June 2009 19:04:02 | |
