Asymptotic behaviour of state trajectories for a class of tubular reactor non-linear models
AYLAJ, Bouchra
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
AYLAJ, Bouchra
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
< Réduire
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Article de revue
Ce document a été publié dans
IMA Journal of Mathematical Control and Information. 2006-06-30, vol. 2, n° 24, p. 163 -175
Oxford University Press (OUP)
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
dissipativity.
tubular reactor
non-linear distributed parameter systems
equilibrium profile
positive C0-semigroup
compact semigroup
dissipativity
Origine
Importé de halUnités de recherche