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

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 f...

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Bibliographic Details
Published inInternational journal of differential equations Vol. 2022; pp. 1 - 10
Main Authors Bouazzaoui, Khaled, Aiboudi, Mohammed, Ahmed, Sameh Elsayed
Format Journal Article
LanguageEnglish
Published New York Hindawi 10.01.2022
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Boundary conditions
Convective flow
Fixed points (mathematics)
Inequality
Nonlinear systems
Ordinary differential equations
Partial differential equations
Porous media
Theorems
Germany
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Summary: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.
ISSN:1687-9643
1687-9651
DOI:10.1155/2022/7331913