A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potenti...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2024-01-01
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| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/18055 |
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| author | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva |
| author_facet | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva |
| author_sort | Rômulo Damasclin Chaves dos Santos |
| collection | DOAJ |
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This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potential flow, which is conventionally applied to inviscid fluids. The primary goal in investigating Oseen flow within external domains is to elucidate the influence of viscous effects on flow patterns beyond solid structures. As a result, we prove the existence of generalized solutions when is a three-dimensional (3D) domain in Stokes problem.
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| format | Article |
| id | doaj-art-907b488df457445c8b9625787174b934 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-907b488df457445c8b9625787174b9342025-02-02T19:53:59ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752024-01-0110210.18540/jcecvl10iss2pp18055A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domainsRômulo Damasclin Chaves dos Santos0Jorge Henrique de Oliveira Sales1Alice Rosa da Silva2Department of Physics, Technological Institute of Aeronautics, São Paulo, BrazilState University of Santa Cruz – Department of Exact Sciences, Ilhéus, Bahia, BrazilFederal University of Uberlândia – UFU, Center for Exact Sciences and Technology, Faculty of Civil Engineering, Uberlândia, Minas Gerais, Brazil This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potential flow, which is conventionally applied to inviscid fluids. The primary goal in investigating Oseen flow within external domains is to elucidate the influence of viscous effects on flow patterns beyond solid structures. As a result, we prove the existence of generalized solutions when is a three-dimensional (3D) domain in Stokes problem. https://periodicos.ufv.br/jcec/article/view/18055Escoamento de Oseen.Domínio 3D.Domínio Externo.Fluido Invíscido. |
| spellingShingle | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains The Journal of Engineering and Exact Sciences Escoamento de Oseen. Domínio 3D. Domínio Externo. Fluido Invíscido. |
| title | A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains |
| title_full | A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains |
| title_fullStr | A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains |
| title_full_unstemmed | A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains |
| title_short | A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains |
| title_sort | brief functional investigation via sobolev spaces to analyze the behavior of oseen flow in external domains |
| topic | Escoamento de Oseen. Domínio 3D. Domínio Externo. Fluido Invíscido. |
| url | https://periodicos.ufv.br/jcec/article/view/18055 |
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