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

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

Redouane Douaifia, Salem Abdelmalek and Samir Bendoukha
Acta applicandae mathematicae, Vol.171(1)
01/02/2021
DOI: https://doi.org/10.1007/s10440-021-00385-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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