## Abstract and Applied Analysis

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

#### Abstract

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 ${C}_{0}$-semigroup.

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 127394, 13 pages.

Dates
First available in Project Euclid: 9 September 2008

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1220969146

Digital Object Identifier
doi:10.1155/2008/127394

Mathematical Reviews number (MathSciNet)
MR2393111

Zentralblatt MATH identifier
1160.47330

#### Citation

Aylaj, B.; Achhab, M. E.; Laabissi, M. State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models. Abstr. Appl. Anal. 2008 (2008), Article ID 127394, 13 pages. doi:10.1155/2008/127394. https://projecteuclid.org/euclid.aaa/1220969146

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