| HAL: hal-00400420, version 1 |
| DOI: 10.1155/2008/127394 |
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| Abstract and Applied Analysis 2008 (2008) http://projecteuclid.org/euclid.aaa/1220969146 |
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| State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models |
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Bouchra Aylaj 1, 2Mohamed Elarbi Achhab |
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| (2008) |
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| The existence and uniqueness of global mild solutions are proven for a class of semilinear nonautonomous evolution equations. Moreover, it is shown that the system, under considerations, has a unique steady state. This analysis uses, essentially, the dissipativity, a subtangential condition, and the positivity of the related C0-semigroup. |
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| 1: | ANUBIS (INRIA Bordeaux - Sud-Ouest) |
| INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR | |
| 2: | Institut de Mathématiques de Bordeaux (IMB) |
| 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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| Distributed parameter systems – Nonautonomous systems – Tubular reactors – Dissipativity – Positive $C_{0}$-semigroups |
| hal-00400420, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00400420 | |
| oai:hal.archives-ouvertes.fr:hal-00400420 | |
| From: Bouchra Aylaj | |
| Submitted on: Tuesday, 30 June 2009 16:50:19 | |
| Updated on: Wednesday, 1 July 2009 21:36:24 | |