Work

Global Well-Posedness for Supercritical SQG With Perturbations of Radially Symmetric Data

Year: 2024

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae253

Authors: Aynur Bulut, Hongjie Dong

Institutions: Louisiana State University, Brown University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404609765

FWCI:

Cites: 16

Cited by:

Related to: 10