Document Type
Article
Publication Date
12-1-2024
Abstract
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.
Publication Source (Journal or Book title)
International Mathematics Research Notices
First Page
14655
Last Page
14661
Recommended Citation
Bulut, A., & Dong, H. (2024). Global Well-Posedness for Supercritical SQG With Perturbations of Radially Symmetric Data. International Mathematics Research Notices, 2024 (24), 14655-14661. https://doi.org/10.1093/imrn/rnae253