A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains

Authors

  • Rômulo Damasclin Chaves dos Santos Department of Physics, Technological Institute of Aeronautics, São Paulo, Brazil https://orcid.org/0000-0002-9482-1998
  • Jorge Henrique de Oliveira Sales State University of Santa Cruz – Department of Exact Sciences, Ilhéus, Bahia, Brazil https://orcid.org/0000-0003-1992-3748
  • Alice Rosa da Silva Federal University of Uberlândia – UFU, Center for Exact Sciences and Technology, Faculty of Civil Engineering, Uberlândia, Minas Gerais, Brazil

DOI:

https://doi.org/10.18540/jcecvl10iss2pp18055

Keywords:

Escoamento de Oseen., Domínio 3D., Domínio Externo., Fluido Invíscido.

Abstract

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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Published

2024-01-19

How to Cite

Santos, R. D. C. dos, Sales, J. H. de O., & Silva, A. R. da. (2024). A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains. The Journal of Engineering and Exact Sciences, 10(2), 18055. https://doi.org/10.18540/jcecvl10iss2pp18055

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Section

General Articles

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