Existence and Uniqueness of the Solution to the Reaction-Diffusion System of FHN type
Year: 2025
Type: article
Abstract: In this study, we delve into the intricacies of the reaction-diffusion system associated with neuronal activities, focusing on open bounded three dimensions convex domain. Employing the renowned Faedo-Galerkin method, alongside compactness techniques, we establish the uniqueness, existence, and initial data sensitivity of both weak and strong solutions within this framework. Furthermore, a comprehensive case analysis is presented, demonstrating the practical application of this methodology to the reaction-diffusion system under consideration.
Source: Iraqi Journal of Science
Authors: Raad A. Obaid, Ghassan A. Al-Juaifri
Institution: University of Kufa
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408985784