A shorter solution to the Clay millennium problem about regularity of the Navier-Stokes equations
| dc.contributor.author | Konstantinos E. Kyritsis | en |
| dc.date.accessioned | 2022-09-29T07:25:51Z | |
| dc.date.available | 2022-09-29T07:25:51Z | |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/31950 | |
| dc.identifier.uri | http://dx.doi.org/10.26268/heal.uoi.11762 | |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.subject | Navier-Stokes equations | en |
| dc.subject | Blow-up | en |
| dc.subject | Incompressible flows | en |
| dc.title | A shorter solution to the Clay millennium problem about regularity of the Navier-Stokes equations | en |
| heal.abstract | The Clay millennium problem regarding the Navier-Stokes equations is one of the seven famous difficult and significant mathematical problems. Although it is known that the set of Navier-Stokes equations has a unique smooth local time solution under the assumptions of the millennium problem, it is not known whether this solution can always be extended for all times smoothly, which is called the regularity (no blow-up) of the Navier-Stokes equations in 3 dimensions. Of course, the natural outcome would be that the regularity also holds for 3 dimensions since we know that it holds in 2 dimensions. Compared to the older solution proposed by Kyritsis (2021a) for the non-periodic setting without external forcing, this paper solves it also for the case with the periodic setting without external forcing. The strategy is based again in discovering new momentum density invariants derived from the well-known Helmholtz-Kelvin-Stokes theorem of the velocity circulation. | en |
| heal.access | free | el |
| heal.bibliographicCitation | Journal of Scientific Research and Studies Vol. 9(1), pp. 8-16, February, 2022 | en |
| heal.classification | Mathematical Physics | |
| heal.dateAvailable | 2022-09-29T07:26:51Z | |
| heal.fullTextAvailability | true | |
| heal.journalName | Journal of Scientific Research and Studies | en |
| heal.journalType | peer-reviewed | el |
| heal.language | en | el |
| heal.publicationDate | 2022-02-22 | |
| heal.publisher | http://www.modernrespub.org/ | en |
| heal.recordProvider | University of Ioannina, School of Economic and Administrative Sciences, Dept of Accouning-Finance | en |
| heal.type | journalArticle | el |
| heal.type.el | Άρθρο περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Πρωτότυπος φάκελος/πακέτο
1 - 1 of 1
Φόρτωση...
- Ονομα:
- JSRS-21-026 Kyritsis_corrected_29_9_22.pdf
- Μέγεθος:
- 858.43 KB
- Μορφότυπο:
- Adobe Portable Document Format
- Περιγραφή:
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.71 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: