EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION FOR A NONLINEAR REACTION-DIFFUSION SYSTEM IN SPACES BY SOBOLEV

Bailly  Bal'e; Gossan D. Pascal Gershom; Yoro Gozo

doi:https://doi.org/10.56827/JRSMMS.2023.1002.5

Bailly Bal'e Universite FHB, UFR de Mathematiques et Informatique Informatique. 22 BP 582, Abidjan 22. COTE DIVOIRE

Gossan D. Pascal Gershom Universite Nangui Abrogoua, UFR-SFA, departement de Mathematiques 22 BP 1709, Abidjan 22. COTE DIVOIRE

Yoro Gozo Universite Nangui Abrogoua, UFR-SFA, departement de Mathematiques 22 BP 1709, Abidjan 22. COTE DIVOIRE

Volume 10, Issue 2 Pages 61-76 June 30, 2023 223 downloads

Article overview

Abstract

In this article, we present a weak solution existence result for a system of equations involved in the mathematical modeling of the flow of an inhomogeneous viscous and incompressible fluid. For this, two results have been established. In the first result, the differentiability is according to Frechet. In the second result, the differentiability is understood in a weaker sense than that of Frechet.

Keywords and Phrases

Uniqueness and differentiabilitycompressible system.

AMS Subject Classification

35D30, 35A01, 35A02.

Reference information

How to Cite

Bailly Bal'e, Gossan D. Pascal Gershom, Yoro Gozo (2023). EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION FOR A NONLINEAR REACTION-DIFFUSION SYSTEM IN SPACES BY SOBOLEV. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(2), 61-76.

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