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http://bura.brunel.ac.uk/handle/2438/29212Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Mikhailov, SE | - |
| dc.date.accessioned | 2024-06-18T06:04:33Z | - |
| dc.date.available | 2024-06-18T06:04:33Z | - |
| dc.date.issued | 2024-06-12 | - |
| dc.identifier | ORCiD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290 | - |
| dc.identifier | 1817 | - |
| dc.identifier.citation | Mikhailov, S.E. (2024) 'Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence', Mathematics, 12 (12), 1817, pp. 1 - 27. doi: 10.3390/math12121817. | en_US |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/29212 | - |
| dc.description | Data Availability Statement: This paper has no associated data. | en_US |
| dc.description | MSC: 35A1; 35B10; 35K45; 35Q30; 76D05. | - |
| dc.description.abstract | We consider evolution (non-stationary) spatially-periodic solutions to the n-dimensional non-linear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in spatial coordinates and time and satisfying the relaxed ellipticity condition. Employing the Galerkin algorithm with the basis constituted by the eigenfunctions of the periodic Bessel-potential operator, we prove the existence of a global weak solution. | en_US |
| dc.description.sponsorship | This research received no external funding. | en_US |
| dc.format.extent | 1 - 27 | - |
| dc.format.medium | Electronic | - |
| dc.language | English | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | MDPI | en_US |
| dc.rights | Copyright © 2024 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | partial differential equations | en_US |
| dc.subject | evolution Navier–Stokes equations | en_US |
| dc.subject | anisotropic Navier–Stokes equations | en_US |
| dc.subject | spatially periodic solutions | en_US |
| dc.subject | variable coefficients | en_US |
| dc.subject | relaxed ellipticity condition | en_US |
| dc.title | Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence | en_US |
| dc.type | Article | en_US |
| dc.date.dateAccepted | 2024-05-27 | - |
| dc.identifier.doi | https://doi.org/10.3390/math12121817 | - |
| dc.relation.isPartOf | Mathematics | - |
| pubs.issue | 12 | - |
| pubs.publication-status | Published online | - |
| pubs.volume | 12 | - |
| dc.identifier.eissn | 2227-7390 | - |
| dc.rights.license | https://creativecommons.org/licenses/by/4.0/legalcode.en | - |
| dc.rights.holder | The author | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
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|---|---|---|---|---|
| FullText.pdf | Copyright © 2024 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | 363.12 kB | Adobe PDF | View/Open |
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