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A note on energy equality for the fractional Navier-Stokes equations

Part of: Incompressible viscous fluids Equations of mathematical physics and other areas of application Partial differential equations

Published online by Cambridge University Press:  03 February 2023

Fan Wu
Fan Wu*
Affiliation:
College of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China (wufan0319@yeah.net)
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Abstract

This paper proves the energy equality for distributional solutions to fractional Navier-Stokes equations, which gives a new proof and covers the classical result of Galdi [Proc. Amer. Math. Soc. 147 (2019), 785–792].

Keywords

Fractional Navier-Stokes equationsenergy equalitydistributional solutions

MSC classification

Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 76D03: Existence, uniqueness, and regularity theory 35B65: Smoothness and regularity of solutions
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 154 , Issue 1 , February 2024 , pp. 201 - 208
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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