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

Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed and Sining Zheng

International Journal of Differential Equations, 2022, vol. 2022, 1-10

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:7331913

DOI: 10.1155/2022/7331913

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