$(H,H^2)$-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus

Hongyong Cui, Hui Liu, Jie Xin

This paper is devoted to the regularity of Navier-Stokes (NS) equations with additive white noise on two-dimensional torus ${\mathbb{T}}^2$. Under the conditions that the external for…