A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics

In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of \(\mathbb{R}^N\). The nonlinear reactive terms are assumed to satisfy natural structure conditions which provide non-negativity of the solut...

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Bibliographic Details
Published in:arXiv.org 2023-06
Main Authors: Daoud, Maha, El-Haj Laamri, Baalal, Azeddine
Format: Article
Language:English
Subjects:
Nonlinearity
Operators
Polynomials
Online Access:Get full text
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Summary:In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of \(\mathbb{R}^N\). The nonlinear reactive terms are assumed to satisfy natural structure conditions which provide non-negativity of the solutions and uniform control of the total mass. The diffusion operators are of type \(u_i\mapsto d_i(-\Delta)^s u_i\) where \(0
ISSN:2331-8422