Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911054248804352 |
|---|---|
| author | Soltanov, Kamal N. |
| author_facet | Soltanov, Kamal N. |
| contents | This article examines the smoothness of the solution to the Navier-Stokes equation from a novel perspective. Here, the existence of the smoother solution relative to x and to the time t was shown only for a finite time. Moreover, for each considered case of the problem, a blowup time for its solutions can be demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10094 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation Soltanov, Kamal N. Analysis of PDEs Primary 35K55, 35K61, 35D30, 35Q30, Secondary 76D03, 76N10 This article examines the smoothness of the solution to the Navier-Stokes equation from a novel perspective. Here, the existence of the smoother solution relative to x and to the time t was shown only for a finite time. Moreover, for each considered case of the problem, a blowup time for its solutions can be demonstrated. |
| title | Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation |
| topic | Analysis of PDEs Primary 35K55, 35K61, 35D30, 35Q30, Secondary 76D03, 76N10 |
| url | https://arxiv.org/abs/2507.10094 |