Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow-Reference-Cited by-同舟云学术

Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow

Published:2022-01-10 Issue: Volume:2022 Page:1-10
ISSN:1687-9651
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Bouazzaoui Khaled¹^ORCID,Aiboudi Mohammed¹,Ahmed Sameh Elsayed²^ORCID

Affiliation:

1. Département de Mathématiques, Laboratoire d’Analyse Mathématiques et Applications (LAMA), Faculté des Sciences Exactes et Appliquées, Université Oran 1 Ahmed Ben Bella, Oran, Algeria

2. Department of Mathematics, Faculty of Sciences, South Valley University Qena, Qena 83523, Egypt

Abstract

In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium saturated with a fluid. The main tools are Schäfer’s fixed-point theorem, the Fredholm alternative, and some theorems on second-order elliptic operators.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2022/7331913.pdf

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