Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.07534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911775296847872 |
|---|---|
| author | Lemarié-Rieusset, Pierre Gilles |
| author_facet | Lemarié-Rieusset, Pierre Gilles |
| contents | We construct non-trivial steady solutions in $H^{-1}$ for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to redefine the notion of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus Lemarié-Rieusset, Pierre Gilles Analysis of PDEs We construct non-trivial steady solutions in $H^{-1}$ for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to redefine the notion of solutions. |
| title | Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.07534 |