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The Navier-Stokes regularity problem
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Robinson, James C. (2020) The Navier-Stokes regularity problem. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 378 (2174). 20190526. doi:10.1098/rsta.2019.0526 ISSN 1364-503X.
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Official URL: https://doi.org/10.1098/rsta.2019.0526
Abstract
There is currently no proof guaranteeing that, given a smooth initial condition, the three-dimensional Navier–Stokes equations have a unique solution that exists for all positive times. This paper reviews the key rigorous results concerning the existence and uniqueness of solutions for this model. In particular, the link between the regularity of solutions and their uniqueness is highlighted.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Differential equations, Fluid mechanics, Navier-Stokes equations, Fluid dynamics -- Mathematics | ||||||
Journal or Publication Title: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | ||||||
Publisher: | The Royal Society Publishing | ||||||
ISSN: | 1364-503X | ||||||
Official Date: | 8 June 2020 | ||||||
Dates: |
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Volume: | 378 | ||||||
Number: | 2174 | ||||||
Article Number: | 20190526 | ||||||
DOI: | 10.1098/rsta.2019.0526 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 11 February 2020 | ||||||
Date of first compliant Open Access: | 24 February 2020 | ||||||
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