Space-time analyticity and refined analyticity radius of the Navier–Stokes equations in the critical Besov spaces
Abstract
In this paper, we establish the space-time analyticity of global solutions to the incompressible Navier–Stokes equations with small initial data in critical Besov spaces Ḃp,q3/p−1. Time decay rates of higher order space-time joint derivatives and instantaneous lower bounds of the analyticity radius follow as straightforward consequences. The method employed skillfully integrate Gevrey-class estimates with iterative derivative techniques. Furthermore, we obtain a logarithmic improvement in the lower bound for the spatial analyticity radius of solutions for arbitrary initial data in critical Besov spaces.
Fields of Study & Subjects
Navier-Stokes equation solutions
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN