*Mathematical Methods in the Applied Sciences*Global large solutions for the Navier-Stokes equations with the Coriolis
forc

07 May 2020

08 May 2020

08 May 2020

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
$1\leq p,r\leq \infty$.