Global large solutions for the Navier-Stokes equations with the Coriolis force

Abstract

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 ${\dot{FB}}_{p,r}^{2-\frac{3}{p}}({\mathbb{R}}^3)$. In fact, our choice of special initial data $u_0$ can be arbitrarily large in ${\dot{FB}}_{p,r}^s({\mathbb{R}}^3)$ for any $s\in \mathbb{R}$ and $1\le p,r\le \infty$.

References in corpus (2)

• On the global wellposedness of the 3-D Navier-Stokes equations with large initial data
• Remarks on the global large solution to the three-dimensional incompressible Navier-Stokes equations