Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AYLAJ, Bouchra | |
| dc.contributor.author | ELARBI ACHHAB, Mohamed | |
| dc.contributor.author | LAABISSI, Mohamed | |
| dc.date.accessioned | 2024-04-04T02:35:33Z | |
| dc.date.available | 2024-04-04T02:35:33Z | |
| dc.date.issued | 2006-06-30 | |
| dc.identifier.issn | 0265-0754 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190647 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.subject.en | dissipativity. | |
| dc.subject.en | tubular reactor | |
| dc.subject.en | non-linear distributed parameter systems | |
| dc.subject.en | equilibrium profile | |
| dc.subject.en | positive C0-semigroup | |
| dc.subject.en | compact semigroup | |
| dc.subject.en | dissipativity | |
| dc.title.en | Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1093/imamci/dnl013 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| bordeaux.journal | IMA Journal of Mathematical Control and Information | |
| bordeaux.page | 163 -175 | |
| bordeaux.volume | 2 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 24 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00400438 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00400438v1 | |
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