Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction
In this paper, we consider the Brinkman equation in the three-dimensional thin domain ℚε⊂ℝ3. The purpose of this paper is to evaluate the asymptotic convergence of a fluid flow in a stationary regime. Firstly, we expose the variational formulation of the posed problem. Then, we presented the problem...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5112840 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560516791271424 |
|---|---|
| author | Soumia Manaa Salah Boulaaras Hamid Benseridi Mourad Dilmi Sultan Alodhaibi |
| author_facet | Soumia Manaa Salah Boulaaras Hamid Benseridi Mourad Dilmi Sultan Alodhaibi |
| author_sort | Soumia Manaa |
| collection | DOAJ |
| description | In this paper, we consider the Brinkman equation in the three-dimensional thin domain ℚε⊂ℝ3. The purpose of this paper is to evaluate the asymptotic convergence of a fluid flow in a stationary regime. Firstly, we expose the variational formulation of the posed problem. Then, we presented the problem in transpose form and prove different inequalities for the solution uε,pε independently of the parameter ε. Finally, these estimates allow us to have the limit problem and the Reynolds equation and establish the uniqueness of the solution. |
| format | Article |
| id | doaj-art-47a0772d417a438280df68a0f65bc4ba |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-47a0772d417a438280df68a0f65bc4ba2025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/51128405112840Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with FrictionSoumia Manaa0Salah Boulaaras1Hamid Benseridi2Mourad Dilmi3Sultan Alodhaibi4Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS-Sétif 1, 19000, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaApplied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS-Sétif 1, 19000, AlgeriaApplied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS-Sétif 1, 19000, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaIn this paper, we consider the Brinkman equation in the three-dimensional thin domain ℚε⊂ℝ3. The purpose of this paper is to evaluate the asymptotic convergence of a fluid flow in a stationary regime. Firstly, we expose the variational formulation of the posed problem. Then, we presented the problem in transpose form and prove different inequalities for the solution uε,pε independently of the parameter ε. Finally, these estimates allow us to have the limit problem and the Reynolds equation and establish the uniqueness of the solution.http://dx.doi.org/10.1155/2021/5112840 |
| spellingShingle | Soumia Manaa Salah Boulaaras Hamid Benseridi Mourad Dilmi Sultan Alodhaibi Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction Journal of Function Spaces |
| title | Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction |
| title_full | Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction |
| title_fullStr | Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction |
| title_full_unstemmed | Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction |
| title_short | Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction |
| title_sort | analysis for flow of an incompressible brinkman type fluid in thin medium with friction |
| url | http://dx.doi.org/10.1155/2021/5112840 |
| work_keys_str_mv | AT soumiamanaa analysisforflowofanincompressiblebrinkmantypefluidinthinmediumwithfriction AT salahboulaaras analysisforflowofanincompressiblebrinkmantypefluidinthinmediumwithfriction AT hamidbenseridi analysisforflowofanincompressiblebrinkmantypefluidinthinmediumwithfriction AT mouraddilmi analysisforflowofanincompressiblebrinkmantypefluidinthinmediumwithfriction AT sultanalodhaibi analysisforflowofanincompressiblebrinkmantypefluidinthinmediumwithfriction |