Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Abstract
Abstract We consider the quasi‐geostrophic equation with its principal part for in with . We show that for every initial data with and , there exists a unique solution in the class of the maximal Lorentz–Besov regularity theorem such that for with and , where . If is sufficiently small, then we may take . Notice that both classes of initial data and solutions are scaling invariant.
Fields of Study & Subjects
Navier-Stokes equation solutions
Advanced Mathematical Physics Problems
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematische Nachrichten
- Volume
- 299
- Issue
- 3
- Pages
- 637–660
- Publication date
- 8 February 2026
- Language
- EN