Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow

Bingyang Hu, Dinghua Xu, Yeyu Zhang

In this paper, we study the advective unstable Cahn--Hilliard equation on ${\mathbb{T}}^2$ with shear flow: \begin{equation*} \begin{cases} u_t+Av_1(y) \partial_x u+\varepsilon Δ^2 u…