Global existence and analyticity of mild solutions for the stochastic Navier–Stokes–Coriolis equations in Besov spaces

Abstract

Consider the stochastic Navier–Stokes–Coriolis equation in R3 driven by an additive white noise, we establish the unique existence and spatial analyticity of global mild solution even when initial data is essentially arbitrarily large and even when stochastic external force is also large provided that the speed of the rotation is fast enough. The proof is based on the Picard contraction principle and a priori estimates to the stochastic parabolic equation.