Global well-posedness for supercritical SQG with perturbations of radially symmetric data
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909123503718400 |
|---|---|
| author | Bulut, Aynur Dong, Hongjie |
| author_facet | Bulut, Aynur Dong, Hongjie |
| contents | We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remains open. Motivated by enhanced decay in radial solutions, we aim to establish global well-posedness for small perturbations of potentially large radial data. Our main result shows that for small perturbations of radial data, the SQG equation admits a unique global solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19439 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global well-posedness for supercritical SQG with perturbations of radially symmetric data Bulut, Aynur Dong, Hongjie Analysis of PDEs We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remains open. Motivated by enhanced decay in radial solutions, we aim to establish global well-posedness for small perturbations of potentially large radial data. Our main result shows that for small perturbations of radial data, the SQG equation admits a unique global solution. |
| title | Global well-posedness for supercritical SQG with perturbations of radially symmetric data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.19439 |