On the uniqueness of the dissipative surface quasi-geostrophic equation
Abstract
Abstract We consider the uniqueness of the solution of the dissipative surface quasi-geostrophic equation. We show that the uniqueness holds in non-homogeneous Besov spaces without any additional assumption which is supposed to construct solutions. When the power of the fractional Laplacian is close to 2, we prove that the uniqueness with the regularity index s = − 1 / 2 . We extract the least regularity s = − 1 / 2 for the well-definedness of the nonlinear term of the equation.
Fields of Study & Subjects
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 2
- Pages
- 025006–025006
- Publication date
- 10 February 2026
- Language
- EN