Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on June 30, 2006
IMA Journal of Mathematical Control and Information 2007 24(2):163-175; doi:10.1093/imamci/dnl013
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
24/2/163    most recent
dnl013v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Aylaj, B.
Right arrow Articles by Laabissi, M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models

B. Aylaj**, M. E. Achhab*** and M. Laabissi****

Laboratoire d'Ingénierie Mathématique (LINMA), Département de Mathématique et Informatique, Faculté des Sciences, BP 20, El Jadida, Morocco

** Email: bouchraylaj{at}yahoo.fr

*** Email: achhab{at}menara.ma

**** Corresponding author. Email: laabissi{at}ucd.ac.ma


  Abstract

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.

Keywords: tubular reactor; non-linear distributed parameter systems; equilibrium profile; positive C0-semigroup; compact semigroup; dissipativity.

Received on 9 September 2005. Revised on 21 February 2006. Accepted on 13 March 2006.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.