Work

Generic reaction-diffusion model with application to image restoration and enhancement

Year: 2018

Type: article

Abstract: This article provides the existence of a global solution to a generic reaction-diffusion system. The main result is a generalization of the work presented by [2,5,11] in the case of a reaction-diffusion equation. We show the existence of a global weak solution to the considered system in the case of quasi-positivity and a triangular structure condition on the nonlinearities [12]. An example of application of our result is demonstrated on a novel bio-inspired image restoration model [1].

Source: DOAJ (DOAJ: Directory of Open Access Journals)

Authors: Amal Aarab, Nour Eddine Alaa, Hamza Khalfi

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4301753499

FWCI: 0.693

Cites:

Cited by: 4

Related to: 10