State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models

State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models

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...

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Main Authors: B. Aylaj, M. E. Achhab, M. Laabissi
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2008/127394
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spelling doaj-ea2e4b475b684330b6f8177776580fb42020-11-25T01:05:52ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/127394127394State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous ModelsB. Aylaj0M. E. Achhab1M. Laabissi2Center de Recherche INRIA Futurs-Site de Bordeaux-IMB, 351 Cours de la Libération, Talent Cedex, Bordeaux 33405, FranceDépartement de Mathématique et Informatique, Faculté des Sciences, Université Chouaib Doukkali, El Jadida BP 20, MoroccoDépartement de Mathématique et Informatique, Faculté des Sciences, Université Chouaib Doukkali, El Jadida BP 20, MoroccoThe 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.http://dx.doi.org/10.1155/2008/127394
collection DOAJ
language English
format Article
sources DOAJ
author B. Aylaj
M. E. Achhab
M. Laabissi
spellingShingle B. Aylaj
M. E. Achhab
M. Laabissi
State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
Abstract and Applied Analysis
author_facet B. Aylaj
M. E. Achhab
M. Laabissi
author_sort B. Aylaj
title State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
title_short State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
title_full State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
title_fullStr State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
title_full_unstemmed State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models
title_sort state trajectories analysis for a class of tubular reactor nonlinear nonautonomous models
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2008-01-01
description 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.
url http://dx.doi.org/10.1155/2008/127394
work_keys_str_mv AT baylaj statetrajectoriesanalysisforaclassoftubularreactornonlinearnonautonomousmodels
AT meachhab statetrajectoriesanalysisforaclassoftubularreactornonlinearnonautonomousmodels
AT mlaabissi statetrajectoriesanalysisforaclassoftubularreactornonlinearnonautonomousmodels
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