Abstract and Applied Analysis
Volume 2008 (2008), Article ID 127394, 13 pages
Research Article

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

B. Aylaj,1,2 M. E. Achhab,2 and M. Laabissi2

1Center de Recherche INRIA Futurs-Site de Bordeaux-IMB, 351 Cours de la Libération, Talent Cedex, Bordeaux 33405, France
2Département de Mathématique et Informatique, Faculté des Sciences, Université Chouaib Doukkali, El Jadida BP 20, Morocco

Received 4 July 2007; Accepted 3 September 2007

Academic Editor: Nicholas Dimitrios Alikakos

Copyright © 2008 B. Aylaj et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.