Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport

Authors

DOI:

https://doi.org/10.18540/jcecvl9iss8pp16656-01e

Keywords:

Smagorinsky model, Functional spaces, Anisotropic viscosity

Abstract

The mathematical analysis employed in this study constitutes an essential foundation for a broader investigation into the regularity of the Navier-Stokes Equations. Within this context, this work represents a significant advance with the Smagorinsky model integrated into the LES methodology. Using the Banach and Sobolev functional spaces, we developed a new theorem that points out a path towards the creation of an anisotropic viscosity model, formulated in the present work. Initially, our effort focuses on providing a comprehensive mathematical analysis, with the aim of promoting a deeper understanding of the challenge inherent in the regularity of the Navier-Stokes equations.

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Published

2023-09-22

How to Cite

Santos, R. D. C. dos, & Sales, J. H. de O. (2023). Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport. The Journal of Engineering and Exact Sciences, 9(8), 16656–01e. https://doi.org/10.18540/jcecvl9iss8pp16656-01e

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General Articles

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