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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2022/7331913 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566280280866816 |
|---|---|
| author | Khaled Bouazzaoui Mohammed Aiboudi Sameh Elsayed Ahmed |
| author_facet | Khaled Bouazzaoui Mohammed Aiboudi Sameh Elsayed Ahmed |
| author_sort | Khaled Bouazzaoui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-63b9461957d3404a89f9f362c744bc77 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-63b9461957d3404a89f9f362c744bc772025-02-03T01:04:31ZengWileyInternational Journal of Differential Equations1687-96512022-01-01202210.1155/2022/7331913Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective FlowKhaled Bouazzaoui0Mohammed Aiboudi1Sameh Elsayed Ahmed2Département de MathématiquesDépartement de MathématiquesDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2022/7331913 |
| spellingShingle | Khaled Bouazzaoui Mohammed Aiboudi Sameh Elsayed Ahmed Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow International Journal of Differential Equations |
| title | Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow |
| title_full | Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow |
| title_fullStr | Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow |
| title_full_unstemmed | Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow |
| title_short | Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow |
| title_sort | existence of strong solutions for nonlinear systems of pdes arising in convective flow |
| url | http://dx.doi.org/10.1155/2022/7331913 |
| work_keys_str_mv | AT khaledbouazzaoui existenceofstrongsolutionsfornonlinearsystemsofpdesarisinginconvectiveflow AT mohammedaiboudi existenceofstrongsolutionsfornonlinearsystemsofpdesarisinginconvectiveflow AT samehelsayedahmed existenceofstrongsolutionsfornonlinearsystemsofpdesarisinginconvectiveflow |