Global Existence and Asymptotic Stability for a Class of Coupled Reaction-Diffusion Systems on Growing Domains

The main purpose of this paper is to extend the result of Barabanova (Proc. Am. Math. Soc. 122:827–831, 1994 ) on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled class of reaction-diffusion systems on a growing domain with an isotr...

Full description

Saved in:
Bibliographic Details
Published in:Acta applicandae mathematicae 2021-02, Vol.171 (1), Article 17
Main Authors: Douaifia, Redouane, Abdelmalek, Salem, Bendoukha, Samir
Format: Article
Language:English
Subjects:
Applications of Mathematics
Asymptotic properties
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Computer engineering
Domains
Flow velocity
Mathematics
Mathematics and Statistics
Partial Differential Equations
Probability Theory and Stochastic Processes
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The main purpose of this paper is to extend the result of Barabanova (Proc. Am. Math. Soc. 122:827–831, 1994 ) on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled class of reaction-diffusion systems on a growing domain with an isotropic growth. Numerical simulations are used to affirm and support the analytical findings.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-021-00385-7