Invariant sets and attractors for Hanusse-type chemical systems with diffusions

We are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂RN found for the ODE Hanusse-type models (corresponding to the case when diffusions are neglected) can be used to define invariant sets ⊂L∞(Ω)N with respect to the corresponding Hanusse-type...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2017-04, Vol.73 (8), p.1815-1823
Main Authors: Moroşanu, Gheorghe, Nechita, Mihai
Format: Article
Language:English
Subjects:
[formula omitted]-semigroup
Attractors
Chemical reactions
Computer simulation
Diffusion
Diffusions
Hanusse-type models
Invariants
Polynomials
Positively invariant sets
Studies
Tangency condition
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂RN found for the ODE Hanusse-type models (corresponding to the case when diffusions are neglected) can be used to define invariant sets ⊂L∞(Ω)N with respect to the corresponding Hanusse-type PDE models (involving diffusions), where Ω⊂Rn, n≤3, denotes the reaction domain. Simulations for both the ODE and PDE Hanusse-type models are performed for suitable coefficients of the polynomials representing the reaction terms, showing that the attractors for the ODE model are also attractors, in fact the only attractors, for the PDE model.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2017.02.024