loading page

Global large solutions for the Navier-Stokes equations with the Coriolis forc
  • Jinlu Li,
  • Jinyi Sun,
  • Minghua Yang
Jinlu Li
School of Mathematics and Computer Sciences
Author Profile
Jinyi Sun
Northwest Normal University
Author Profile
Minghua Yang
Jiangxi University of Finance and Economics
Author Profile


In this paper, we construct a class of global large solution to the three-dimensional Navier-Stokes equations with the Coriolis force in critical Fourier-Besov space $\dot{FB}^{2-\frac{3}{p}}_{p,r}(\mathbb{R}^3)$. In fact, our choice of special initial data $u_0$ can be arbitrarily large in $\dot{FB}^{s}_{p,r}(\mathbb{R}^3)$ for any $s\in\R$ and $1\leq p,r\leq \infty$.